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Finding the Third Proportional to 612,263 and 920,730

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Solution

The third proportional to 612,263 and 920,730 is: 1,384,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,263 : 920,730 = 920,730 : x
  2. Step 2: Convert to fraction form
    612,263/920,730 = 920,730/x
  3. Step 3: Cross multiply
    612,263x = 920,730 × 920,730
  4. Step 4: Simplify right side
    612,263x = 847,743,732,900
  5. Step 5: Solve for x
    x = 847,743,732,900/612,263
  6. Step 6: Final answer
    x = 1,384,607.16

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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.