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Finding the Third Proportional to 360,506 and 834,548

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Solution

The third proportional to 360,506 and 834,548 is: 1,931,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,506 : 834,548 = 834,548 : x
  2. Step 2: Convert to fraction form
    360,506/834,548 = 834,548/x
  3. Step 3: Cross multiply
    360,506x = 834,548 × 834,548
  4. Step 4: Simplify right side
    360,506x = 696,470,364,304
  5. Step 5: Solve for x
    x = 696,470,364,304/360,506
  6. Step 6: Final answer
    x = 1,931,924.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.