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Finding the Third Proportional to 409,386 and 602,376

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Solution

The third proportional to 409,386 and 602,376 is: 886,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,386 : 602,376 = 602,376 : x
  2. Step 2: Convert to fraction form
    409,386/602,376 = 602,376/x
  3. Step 3: Cross multiply
    409,386x = 602,376 × 602,376
  4. Step 4: Simplify right side
    409,386x = 362,856,845,376
  5. Step 5: Solve for x
    x = 362,856,845,376/409,386
  6. Step 6: Final answer
    x = 886,344.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.