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Finding the Third Proportional to 480,842 and 707,655

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Solution

The third proportional to 480,842 and 707,655 is: 1,041,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,842 : 707,655 = 707,655 : x
  2. Step 2: Convert to fraction form
    480,842/707,655 = 707,655/x
  3. Step 3: Cross multiply
    480,842x = 707,655 × 707,655
  4. Step 4: Simplify right side
    480,842x = 500,775,599,025
  5. Step 5: Solve for x
    x = 500,775,599,025/480,842
  6. Step 6: Final answer
    x = 1,041,455.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.