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Finding the Third Proportional to 452,734 and 612,670

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Solution

The third proportional to 452,734 and 612,670 is: 829,106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,734 : 612,670 = 612,670 : x
  2. Step 2: Convert to fraction form
    452,734/612,670 = 612,670/x
  3. Step 3: Cross multiply
    452,734x = 612,670 × 612,670
  4. Step 4: Simplify right side
    452,734x = 375,364,528,900
  5. Step 5: Solve for x
    x = 375,364,528,900/452,734
  6. Step 6: Final answer
    x = 829,106.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.