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Finding the Third Proportional to 302,700.38 and 625,087.13

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Solution

The third proportional to 302,700.38 and 625,087.13 is: 1,290,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,700.38 : 625,087.13 = 625,087.13 : x
  2. Step 2: Convert to fraction form
    302,700.38/625,087.13 = 625,087.13/x
  3. Step 3: Cross multiply
    302,700.38x = 625,087.13 × 625,087.13
  4. Step 4: Simplify right side
    302,700.38x = 390,733,913,840.77
  5. Step 5: Solve for x
    x = 390,733,913,840.77/302,700.38
  6. Step 6: Final answer
    x = 1,290,827.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.