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Finding the Third Proportional to 527,454 and 817,243.50

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Solution

The third proportional to 527,454 and 817,243.50 is: 1,266,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,454 : 817,243.50 = 817,243.50 : x
  2. Step 2: Convert to fraction form
    527,454/817,243.50 = 817,243.50/x
  3. Step 3: Cross multiply
    527,454x = 817,243.50 × 817,243.50
  4. Step 4: Simplify right side
    527,454x = 667,886,938,292.25
  5. Step 5: Solve for x
    x = 667,886,938,292.25/527,454
  6. Step 6: Final answer
    x = 1,266,246.80

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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.