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Finding the Third Proportional to 403,710 and 597,747

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Solution

The third proportional to 403,710 and 597,747 is: 885,044.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,710 : 597,747 = 597,747 : x
  2. Step 2: Convert to fraction form
    403,710/597,747 = 597,747/x
  3. Step 3: Cross multiply
    403,710x = 597,747 × 597,747
  4. Step 4: Simplify right side
    403,710x = 357,301,476,009
  5. Step 5: Solve for x
    x = 357,301,476,009/403,710
  6. Step 6: Final answer
    x = 885,044.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.