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Finding the Third Proportional to 316,404.98 and 490,055.06

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Solution

The third proportional to 316,404.98 and 490,055.06 is: 759,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,404.98 : 490,055.06 = 490,055.06 : x
  2. Step 2: Convert to fraction form
    316,404.98/490,055.06 = 490,055.06/x
  3. Step 3: Cross multiply
    316,404.98x = 490,055.06 × 490,055.06
  4. Step 4: Simplify right side
    316,404.98x = 240,153,964,281.88
  5. Step 5: Solve for x
    x = 240,153,964,281.88/316,404.98
  6. Step 6: Final answer
    x = 759,008.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.