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Finding the Third Proportional to 388,506 and 600,015

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Solution

The third proportional to 388,506 and 600,015 is: 926,672.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,506 : 600,015 = 600,015 : x
  2. Step 2: Convert to fraction form
    388,506/600,015 = 600,015/x
  3. Step 3: Cross multiply
    388,506x = 600,015 × 600,015
  4. Step 4: Simplify right side
    388,506x = 360,018,000,225
  5. Step 5: Solve for x
    x = 360,018,000,225/388,506
  6. Step 6: Final answer
    x = 926,672.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.