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Finding the Third Proportional to 372,870 and 583,287.75

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Solution

The third proportional to 372,870 and 583,287.75 is: 912,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,870 : 583,287.75 = 583,287.75 : x
  2. Step 2: Convert to fraction form
    372,870/583,287.75 = 583,287.75/x
  3. Step 3: Cross multiply
    372,870x = 583,287.75 × 583,287.75
  4. Step 4: Simplify right side
    372,870x = 340,224,599,300.06
  5. Step 5: Solve for x
    x = 340,224,599,300.06/372,870
  6. Step 6: Final answer
    x = 912,448.30

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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.