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Finding the Third Proportional to 287,526,185 and 411,165,809.50

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Solution

The third proportional to 287,526,185 and 411,165,809.50 is: 587,971,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,526,185 : 411,165,809.50 = 411,165,809.50 : x
  2. Step 2: Convert to fraction form
    287,526,185/411,165,809.50 = 411,165,809.50/x
  3. Step 3: Cross multiply
    287,526,185x = 411,165,809.50 × 411,165,809.50
  4. Step 4: Simplify right side
    287,526,185x = 169,057,322,901,790,304
  5. Step 5: Solve for x
    x = 169,057,322,901,790,304/287,526,185
  6. Step 6: Final answer
    x = 587,971,919.50

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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.