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Finding the Third Proportional to 349,984 and 749,532

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Solution

The third proportional to 349,984 and 749,532 is: 1,605,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,984 : 749,532 = 749,532 : x
  2. Step 2: Convert to fraction form
    349,984/749,532 = 749,532/x
  3. Step 3: Cross multiply
    349,984x = 749,532 × 749,532
  4. Step 4: Simplify right side
    349,984x = 561,798,219,024
  5. Step 5: Solve for x
    x = 561,798,219,024/349,984
  6. Step 6: Final answer
    x = 1,605,211.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.