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Finding the Third Proportional to 578,561.17 and 865,746.35

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Solution

The third proportional to 578,561.17 and 865,746.35 is: 1,295,484.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,561.17 : 865,746.35 = 865,746.35 : x
  2. Step 2: Convert to fraction form
    578,561.17/865,746.35 = 865,746.35/x
  3. Step 3: Cross multiply
    578,561.17x = 865,746.35 × 865,746.35
  4. Step 4: Simplify right side
    578,561.17x = 749,516,745,243.78
  5. Step 5: Solve for x
    x = 749,516,745,243.78/578,561.17
  6. Step 6: Final answer
    x = 1,295,484.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.