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Finding the Third Proportional to 590,412 and 1,287,658.50

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Solution

The third proportional to 590,412 and 1,287,658.50 is: 2,808,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,412 : 1,287,658.50 = 1,287,658.50 : x
  2. Step 2: Convert to fraction form
    590,412/1,287,658.50 = 1,287,658.50/x
  3. Step 3: Cross multiply
    590,412x = 1,287,658.50 × 1,287,658.50
  4. Step 4: Simplify right side
    590,412x = 1,658,064,412,622.25
  5. Step 5: Solve for x
    x = 1,658,064,412,622.25/590,412
  6. Step 6: Final answer
    x = 2,808,317.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.