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Finding the Third Proportional to 527,590.13 and 817,448.63

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Solution

The third proportional to 527,590.13 and 817,448.63 is: 1,266,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,590.13 : 817,448.63 = 817,448.63 : x
  2. Step 2: Convert to fraction form
    527,590.13/817,448.63 = 817,448.63/x
  3. Step 3: Cross multiply
    527,590.13x = 817,448.63 × 817,448.63
  4. Step 4: Simplify right side
    527,590.13x = 668,222,254,514.39
  5. Step 5: Solve for x
    x = 668,222,254,514.39/527,590.13
  6. Step 6: Final answer
    x = 1,266,555.65

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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.