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Finding the Third Proportional to 506,481 and 772,585.50

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Solution

The third proportional to 506,481 and 772,585.50 is: 1,178,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,481 : 772,585.50 = 772,585.50 : x
  2. Step 2: Convert to fraction form
    506,481/772,585.50 = 772,585.50/x
  3. Step 3: Cross multiply
    506,481x = 772,585.50 × 772,585.50
  4. Step 4: Simplify right side
    506,481x = 596,888,354,810.25
  5. Step 5: Solve for x
    x = 596,888,354,810.25/506,481
  6. Step 6: Final answer
    x = 1,178,500.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.