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Finding the Third Proportional to 475,065 and 736,699.50

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Solution

The third proportional to 475,065 and 736,699.50 is: 1,142,425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,065 : 736,699.50 = 736,699.50 : x
  2. Step 2: Convert to fraction form
    475,065/736,699.50 = 736,699.50/x
  3. Step 3: Cross multiply
    475,065x = 736,699.50 × 736,699.50
  4. Step 4: Simplify right side
    475,065x = 542,726,153,300.25
  5. Step 5: Solve for x
    x = 542,726,153,300.25/475,065
  6. Step 6: Final answer
    x = 1,142,425.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.