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Finding the Third Proportional to 485,875.13 and 762,117.19

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Solution

The third proportional to 485,875.13 and 762,117.19 is: 1,195,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,875.13 : 762,117.19 = 762,117.19 : x
  2. Step 2: Convert to fraction form
    485,875.13/762,117.19 = 762,117.19/x
  3. Step 3: Cross multiply
    485,875.13x = 762,117.19 × 762,117.19
  4. Step 4: Simplify right side
    485,875.13x = 580,822,607,482.91
  5. Step 5: Solve for x
    x = 580,822,607,482.91/485,875.13
  6. Step 6: Final answer
    x = 1,195,415.40

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.