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Finding the Third Proportional to 296,442 and 458,541

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Solution

The third proportional to 296,442 and 458,541 is: 709,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,442 : 458,541 = 458,541 : x
  2. Step 2: Convert to fraction form
    296,442/458,541 = 458,541/x
  3. Step 3: Cross multiply
    296,442x = 458,541 × 458,541
  4. Step 4: Simplify right side
    296,442x = 210,259,848,681
  5. Step 5: Solve for x
    x = 210,259,848,681/296,442
  6. Step 6: Final answer
    x = 709,278.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.