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Finding the Third Proportional to 349,778 and 750,508

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Solution

The third proportional to 349,778 and 750,508 is: 1,610,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,778 : 750,508 = 750,508 : x
  2. Step 2: Convert to fraction form
    349,778/750,508 = 750,508/x
  3. Step 3: Cross multiply
    349,778x = 750,508 × 750,508
  4. Step 4: Simplify right side
    349,778x = 563,262,258,064
  5. Step 5: Solve for x
    x = 563,262,258,064/349,778
  6. Step 6: Final answer
    x = 1,610,342.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.