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Finding the Third Proportional to 551,032.88 and 842,967

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Solution

The third proportional to 551,032.88 and 842,967 is: 1,289,566.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,032.88 : 842,967 = 842,967 : x
  2. Step 2: Convert to fraction form
    551,032.88/842,967 = 842,967/x
  3. Step 3: Cross multiply
    551,032.88x = 842,967 × 842,967
  4. Step 4: Simplify right side
    551,032.88x = 710,593,363,089
  5. Step 5: Solve for x
    x = 710,593,363,089/551,032.88
  6. Step 6: Final answer
    x = 1,289,566.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.