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Finding the Third Proportional to 208,708 and 456,776

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Solution

The third proportional to 208,708 and 456,776 is: 999,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,708 : 456,776 = 456,776 : x
  2. Step 2: Convert to fraction form
    208,708/456,776 = 456,776/x
  3. Step 3: Cross multiply
    208,708x = 456,776 × 456,776
  4. Step 4: Simplify right side
    208,708x = 208,644,314,176
  5. Step 5: Solve for x
    x = 208,644,314,176/208,708
  6. Step 6: Final answer
    x = 999,694.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.