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Finding the Third Proportional to 253,248.75 and 597,807

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Solution

The third proportional to 253,248.75 and 597,807 is: 1,411,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,248.75 : 597,807 = 597,807 : x
  2. Step 2: Convert to fraction form
    253,248.75/597,807 = 597,807/x
  3. Step 3: Cross multiply
    253,248.75x = 597,807 × 597,807
  4. Step 4: Simplify right side
    253,248.75x = 357,373,209,249
  5. Step 5: Solve for x
    x = 357,373,209,249/253,248.75
  6. Step 6: Final answer
    x = 1,411,154.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.