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Finding the Third Proportional to 507,118.22 and 725,132.88

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Solution

The third proportional to 507,118.22 and 725,132.88 is: 1,036,874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,118.22 : 725,132.88 = 725,132.88 : x
  2. Step 2: Convert to fraction form
    507,118.22/725,132.88 = 725,132.88/x
  3. Step 3: Cross multiply
    507,118.22x = 725,132.88 × 725,132.88
  4. Step 4: Simplify right side
    507,118.22x = 525,817,697,735.97
  5. Step 5: Solve for x
    x = 525,817,697,735.97/507,118.22
  6. Step 6: Final answer
    x = 1,036,874.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.