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Finding the Third Proportional to 402,283 and 596,461

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Solution

The third proportional to 402,283 and 596,461 is: 884,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,283 : 596,461 = 596,461 : x
  2. Step 2: Convert to fraction form
    402,283/596,461 = 596,461/x
  3. Step 3: Cross multiply
    402,283x = 596,461 × 596,461
  4. Step 4: Simplify right side
    402,283x = 355,765,724,521
  5. Step 5: Solve for x
    x = 355,765,724,521/402,283
  6. Step 6: Final answer
    x = 884,366.79

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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.