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Finding the Third Proportional to 547,065 and 865,561.50

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Solution

The third proportional to 547,065 and 865,561.50 is: 1,369,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,065 : 865,561.50 = 865,561.50 : x
  2. Step 2: Convert to fraction form
    547,065/865,561.50 = 865,561.50/x
  3. Step 3: Cross multiply
    547,065x = 865,561.50 × 865,561.50
  4. Step 4: Simplify right side
    547,065x = 749,196,710,282.25
  5. Step 5: Solve for x
    x = 749,196,710,282.25/547,065
  6. Step 6: Final answer
    x = 1,369,483.90

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.