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Finding the Third Proportional to 527,709 and 817,627.50

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Solution

The third proportional to 527,709 and 817,627.50 is: 1,266,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,709 : 817,627.50 = 817,627.50 : x
  2. Step 2: Convert to fraction form
    527,709/817,627.50 = 817,627.50/x
  3. Step 3: Cross multiply
    527,709x = 817,627.50 × 817,627.50
  4. Step 4: Simplify right side
    527,709x = 668,514,728,756.25
  5. Step 5: Solve for x
    x = 668,514,728,756.25/527,709
  6. Step 6: Final answer
    x = 1,266,824.57

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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.