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Finding the Third Proportional to 584,304.89 and 880,301.67

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Solution

The third proportional to 584,304.89 and 880,301.67 is: 1,326,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,304.89 : 880,301.67 = 880,301.67 : x
  2. Step 2: Convert to fraction form
    584,304.89/880,301.67 = 880,301.67/x
  3. Step 3: Cross multiply
    584,304.89x = 880,301.67 × 880,301.67
  4. Step 4: Simplify right side
    584,304.89x = 774,931,033,505.92
  5. Step 5: Solve for x
    x = 774,931,033,505.92/584,304.89
  6. Step 6: Final answer
    x = 1,326,244.30

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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.