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Finding the Third Proportional to 724,533 and 1,573,623.50

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Solution

The third proportional to 724,533 and 1,573,623.50 is: 3,417,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,533 : 1,573,623.50 = 1,573,623.50 : x
  2. Step 2: Convert to fraction form
    724,533/1,573,623.50 = 1,573,623.50/x
  3. Step 3: Cross multiply
    724,533x = 1,573,623.50 × 1,573,623.50
  4. Step 4: Simplify right side
    724,533x = 2,476,290,919,752.25
  5. Step 5: Solve for x
    x = 2,476,290,919,752.25/724,533
  6. Step 6: Final answer
    x = 3,417,775.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.