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Finding the Third Proportional to 349,724 and 749,065

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Solution

The third proportional to 349,724 and 749,065 is: 1,604,403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,724 : 749,065 = 749,065 : x
  2. Step 2: Convert to fraction form
    349,724/749,065 = 749,065/x
  3. Step 3: Cross multiply
    349,724x = 749,065 × 749,065
  4. Step 4: Simplify right side
    349,724x = 561,098,374,225
  5. Step 5: Solve for x
    x = 561,098,374,225/349,724
  6. Step 6: Final answer
    x = 1,604,403.40

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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.