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Finding the Third Proportional to 372,888 and 583,317

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Solution

The third proportional to 372,888 and 583,317 is: 912,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,888 : 583,317 = 583,317 : x
  2. Step 2: Convert to fraction form
    372,888/583,317 = 583,317/x
  3. Step 3: Cross multiply
    372,888x = 583,317 × 583,317
  4. Step 4: Simplify right side
    372,888x = 340,258,722,489
  5. Step 5: Solve for x
    x = 340,258,722,489/372,888
  6. Step 6: Final answer
    x = 912,495.77

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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.