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Finding the Third Proportional to 369,074 and 767,597

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Solution

The third proportional to 369,074 and 767,597 is: 1,596,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,074 : 767,597 = 767,597 : x
  2. Step 2: Convert to fraction form
    369,074/767,597 = 767,597/x
  3. Step 3: Cross multiply
    369,074x = 767,597 × 767,597
  4. Step 4: Simplify right side
    369,074x = 589,205,154,409
  5. Step 5: Solve for x
    x = 589,205,154,409/369,074
  6. Step 6: Final answer
    x = 1,596,441.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.