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Finding the Third Proportional to 480,904.50 and 750,471

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Solution

The third proportional to 480,904.50 and 750,471 is: 1,171,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,904.50 : 750,471 = 750,471 : x
  2. Step 2: Convert to fraction form
    480,904.50/750,471 = 750,471/x
  3. Step 3: Cross multiply
    480,904.50x = 750,471 × 750,471
  4. Step 4: Simplify right side
    480,904.50x = 563,206,721,841
  5. Step 5: Solve for x
    x = 563,206,721,841/480,904.50
  6. Step 6: Final answer
    x = 1,171,140.47

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.