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Finding the Third Proportional to 584,306 and 913,364

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Solution

The third proportional to 584,306 and 913,364 is: 1,427,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,306 : 913,364 = 913,364 : x
  2. Step 2: Convert to fraction form
    584,306/913,364 = 913,364/x
  3. Step 3: Cross multiply
    584,306x = 913,364 × 913,364
  4. Step 4: Simplify right side
    584,306x = 834,233,796,496
  5. Step 5: Solve for x
    x = 834,233,796,496/584,306
  6. Step 6: Final answer
    x = 1,427,734.43

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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.