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Finding the Third Proportional to 527,603.63 and 817,468.88

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Solution

The third proportional to 527,603.63 and 817,468.88 is: 1,266,585.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,603.63 : 817,468.88 = 817,468.88 : x
  2. Step 2: Convert to fraction form
    527,603.63/817,468.88 = 817,468.88/x
  3. Step 3: Cross multiply
    527,603.63x = 817,468.88 × 817,468.88
  4. Step 4: Simplify right side
    527,603.63x = 668,255,361,593.77
  5. Step 5: Solve for x
    x = 668,255,361,593.77/527,603.63
  6. Step 6: Final answer
    x = 1,266,585.99

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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.