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Finding the Third Proportional to 374,352 and 611,217

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Solution

The third proportional to 374,352 and 611,217 is: 997,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,352 : 611,217 = 611,217 : x
  2. Step 2: Convert to fraction form
    374,352/611,217 = 611,217/x
  3. Step 3: Cross multiply
    374,352x = 611,217 × 611,217
  4. Step 4: Simplify right side
    374,352x = 373,586,221,089
  5. Step 5: Solve for x
    x = 373,586,221,089/374,352
  6. Step 6: Final answer
    x = 997,954.39

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.