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Finding the Third Proportional to 373,598 and 583,725

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Solution

The third proportional to 373,598 and 583,725 is: 912,036.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,598 : 583,725 = 583,725 : x
  2. Step 2: Convert to fraction form
    373,598/583,725 = 583,725/x
  3. Step 3: Cross multiply
    373,598x = 583,725 × 583,725
  4. Step 4: Simplify right side
    373,598x = 340,734,875,625
  5. Step 5: Solve for x
    x = 340,734,875,625/373,598
  6. Step 6: Final answer
    x = 912,036.13

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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.