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Finding the Third Proportional to 402,253 and 596,421

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Solution

The third proportional to 402,253 and 596,421 is: 884,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,253 : 596,421 = 596,421 : x
  2. Step 2: Convert to fraction form
    402,253/596,421 = 596,421/x
  3. Step 3: Cross multiply
    402,253x = 596,421 × 596,421
  4. Step 4: Simplify right side
    402,253x = 355,718,009,241
  5. Step 5: Solve for x
    x = 355,718,009,241/402,253
  6. Step 6: Final answer
    x = 884,314.12

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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.