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Finding the Third Proportional to 365,488.13 and 564,831.75

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Solution

The third proportional to 365,488.13 and 564,831.75 is: 872,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,488.13 : 564,831.75 = 564,831.75 : x
  2. Step 2: Convert to fraction form
    365,488.13/564,831.75 = 564,831.75/x
  3. Step 3: Cross multiply
    365,488.13x = 564,831.75 × 564,831.75
  4. Step 4: Simplify right side
    365,488.13x = 319,034,905,808.06
  5. Step 5: Solve for x
    x = 319,034,905,808.06/365,488.13
  6. Step 6: Final answer
    x = 872,900.88

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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.