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Finding the Third Proportional to 175,748 and 414,478

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Solution

The third proportional to 175,748 and 414,478 is: 977,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,748 : 414,478 = 414,478 : x
  2. Step 2: Convert to fraction form
    175,748/414,478 = 414,478/x
  3. Step 3: Cross multiply
    175,748x = 414,478 × 414,478
  4. Step 4: Simplify right side
    175,748x = 171,792,012,484
  5. Step 5: Solve for x
    x = 171,792,012,484/175,748
  6. Step 6: Final answer
    x = 977,490.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.