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Finding the Third Proportional to 357,714 and 501,368

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Solution

The third proportional to 357,714 and 501,368 is: 702,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,714 : 501,368 = 501,368 : x
  2. Step 2: Convert to fraction form
    357,714/501,368 = 501,368/x
  3. Step 3: Cross multiply
    357,714x = 501,368 × 501,368
  4. Step 4: Simplify right side
    357,714x = 251,369,871,424
  5. Step 5: Solve for x
    x = 251,369,871,424/357,714
  6. Step 6: Final answer
    x = 702,711.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.