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Finding the Third Proportional to 286,534 and 387,758

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Solution

The third proportional to 286,534 and 387,758 is: 524,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,534 : 387,758 = 387,758 : x
  2. Step 2: Convert to fraction form
    286,534/387,758 = 387,758/x
  3. Step 3: Cross multiply
    286,534x = 387,758 × 387,758
  4. Step 4: Simplify right side
    286,534x = 150,356,266,564
  5. Step 5: Solve for x
    x = 150,356,266,564/286,534
  6. Step 6: Final answer
    x = 524,741.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.