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Finding the Third Proportional to 584,314 and 913,376

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Solution

The third proportional to 584,314 and 913,376 is: 1,427,752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,314 : 913,376 = 913,376 : x
  2. Step 2: Convert to fraction form
    584,314/913,376 = 913,376/x
  3. Step 3: Cross multiply
    584,314x = 913,376 × 913,376
  4. Step 4: Simplify right side
    584,314x = 834,255,717,376
  5. Step 5: Solve for x
    x = 834,255,717,376/584,314
  6. Step 6: Final answer
    x = 1,427,752.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.