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Finding the Third Proportional to 478,929 and 639,070.50

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Solution

The third proportional to 478,929 and 639,070.50 is: 852,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,929 : 639,070.50 = 639,070.50 : x
  2. Step 2: Convert to fraction form
    478,929/639,070.50 = 639,070.50/x
  3. Step 3: Cross multiply
    478,929x = 639,070.50 × 639,070.50
  4. Step 4: Simplify right side
    478,929x = 408,411,103,970.25
  5. Step 5: Solve for x
    x = 408,411,103,970.25/478,929
  6. Step 6: Final answer
    x = 852,759.19

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.