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Finding the Third Proportional to 584,289 and 880,279.88

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Solution

The third proportional to 584,289 and 880,279.88 is: 1,326,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,289 : 880,279.88 = 880,279.88 : x
  2. Step 2: Convert to fraction form
    584,289/880,279.88 = 880,279.88/x
  3. Step 3: Cross multiply
    584,289x = 880,279.88 × 880,279.88
  4. Step 4: Simplify right side
    584,289x = 774,892,658,330.02
  5. Step 5: Solve for x
    x = 774,892,658,330.02/584,289
  6. Step 6: Final answer
    x = 1,326,214.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.