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Finding the Third Proportional to 584,287 and 880,275

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Solution

The third proportional to 584,287 and 880,275 is: 1,326,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,287 : 880,275 = 880,275 : x
  2. Step 2: Convert to fraction form
    584,287/880,275 = 880,275/x
  3. Step 3: Cross multiply
    584,287x = 880,275 × 880,275
  4. Step 4: Simplify right side
    584,287x = 774,884,075,625
  5. Step 5: Solve for x
    x = 774,884,075,625/584,287
  6. Step 6: Final answer
    x = 1,326,204.55

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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.