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Finding the Third Proportional to 552,612 and 830,968

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Solution

The third proportional to 552,612 and 830,968 is: 1,249,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,612 : 830,968 = 830,968 : x
  2. Step 2: Convert to fraction form
    552,612/830,968 = 830,968/x
  3. Step 3: Cross multiply
    552,612x = 830,968 × 830,968
  4. Step 4: Simplify right side
    552,612x = 690,507,817,024
  5. Step 5: Solve for x
    x = 690,507,817,024/552,612
  6. Step 6: Final answer
    x = 1,249,534.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.