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Finding the Third Proportional to 402,261 and 596,433

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Solution

The third proportional to 402,261 and 596,433 is: 884,332.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,261 : 596,433 = 596,433 : x
  2. Step 2: Convert to fraction form
    402,261/596,433 = 596,433/x
  3. Step 3: Cross multiply
    402,261x = 596,433 × 596,433
  4. Step 4: Simplify right side
    402,261x = 355,732,323,489
  5. Step 5: Solve for x
    x = 355,732,323,489/402,261
  6. Step 6: Final answer
    x = 884,332.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.