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Finding the Third Proportional to 554,778 and 708,905.25

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Solution

The third proportional to 554,778 and 708,905.25 is: 905,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,778 : 708,905.25 = 708,905.25 : x
  2. Step 2: Convert to fraction form
    554,778/708,905.25 = 708,905.25/x
  3. Step 3: Cross multiply
    554,778x = 708,905.25 × 708,905.25
  4. Step 4: Simplify right side
    554,778x = 502,546,653,477.56
  5. Step 5: Solve for x
    x = 502,546,653,477.56/554,778
  6. Step 6: Final answer
    x = 905,851.81

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.