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Finding the Third Proportional to 432,482.63 and 687,349.13

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Solution

The third proportional to 432,482.63 and 687,349.13 is: 1,092,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,482.63 : 687,349.13 = 687,349.13 : x
  2. Step 2: Convert to fraction form
    432,482.63/687,349.13 = 687,349.13/x
  3. Step 3: Cross multiply
    432,482.63x = 687,349.13 × 687,349.13
  4. Step 4: Simplify right side
    432,482.63x = 472,448,819,638.27
  5. Step 5: Solve for x
    x = 472,448,819,638.27/432,482.63
  6. Step 6: Final answer
    x = 1,092,411.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.