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Finding the Third Proportional to 367,228 and 778,541

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Solution

The third proportional to 367,228 and 778,541 is: 1,650,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,228 : 778,541 = 778,541 : x
  2. Step 2: Convert to fraction form
    367,228/778,541 = 778,541/x
  3. Step 3: Cross multiply
    367,228x = 778,541 × 778,541
  4. Step 4: Simplify right side
    367,228x = 606,126,088,681
  5. Step 5: Solve for x
    x = 606,126,088,681/367,228
  6. Step 6: Final answer
    x = 1,650,544.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.