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Finding the Third Proportional to 244,946 and 374,709

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Solution

The third proportional to 244,946 and 374,709 is: 573,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,946 : 374,709 = 374,709 : x
  2. Step 2: Convert to fraction form
    244,946/374,709 = 374,709/x
  3. Step 3: Cross multiply
    244,946x = 374,709 × 374,709
  4. Step 4: Simplify right side
    244,946x = 140,406,834,681
  5. Step 5: Solve for x
    x = 140,406,834,681/244,946
  6. Step 6: Final answer
    x = 573,215.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.