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Finding the Third Proportional to 374,527.13 and 586,892.25

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Solution

The third proportional to 374,527.13 and 586,892.25 is: 919,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,527.13 : 586,892.25 = 586,892.25 : x
  2. Step 2: Convert to fraction form
    374,527.13/586,892.25 = 586,892.25/x
  3. Step 3: Cross multiply
    374,527.13x = 586,892.25 × 586,892.25
  4. Step 4: Simplify right side
    374,527.13x = 344,442,513,110.06
  5. Step 5: Solve for x
    x = 344,442,513,110.06/374,527.13
  6. Step 6: Final answer
    x = 919,673.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.