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Finding the Third Proportional to 371,894 and 812,908

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Solution

The third proportional to 371,894 and 812,908 is: 1,776,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,894 : 812,908 = 812,908 : x
  2. Step 2: Convert to fraction form
    371,894/812,908 = 812,908/x
  3. Step 3: Cross multiply
    371,894x = 812,908 × 812,908
  4. Step 4: Simplify right side
    371,894x = 660,819,416,464
  5. Step 5: Solve for x
    x = 660,819,416,464/371,894
  6. Step 6: Final answer
    x = 1,776,902.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.