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Finding the Third Proportional to 287,526,181.50 and 411,165,805.50

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Solution

The third proportional to 287,526,181.50 and 411,165,805.50 is: 587,971,915.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,526,181.50 : 411,165,805.50 = 411,165,805.50 : x
  2. Step 2: Convert to fraction form
    287,526,181.50/411,165,805.50 = 411,165,805.50/x
  3. Step 3: Cross multiply
    287,526,181.50x = 411,165,805.50 × 411,165,805.50
  4. Step 4: Simplify right side
    287,526,181.50x = 169,057,319,612,463,840
  5. Step 5: Solve for x
    x = 169,057,319,612,463,840/287,526,181.50
  6. Step 6: Final answer
    x = 587,971,915.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.