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Finding the Third Proportional to 653,065 and 940,642.50

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Solution

The third proportional to 653,065 and 940,642.50 is: 1,354,854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,065 : 940,642.50 = 940,642.50 : x
  2. Step 2: Convert to fraction form
    653,065/940,642.50 = 940,642.50/x
  3. Step 3: Cross multiply
    653,065x = 940,642.50 × 940,642.50
  4. Step 4: Simplify right side
    653,065x = 884,808,312,806.25
  5. Step 5: Solve for x
    x = 884,808,312,806.25/653,065
  6. Step 6: Final answer
    x = 1,354,854.90

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.