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Finding the Third Proportional to 584,240 and 882,681

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Solution

The third proportional to 584,240 and 882,681 is: 1,333,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,240 : 882,681 = 882,681 : x
  2. Step 2: Convert to fraction form
    584,240/882,681 = 882,681/x
  3. Step 3: Cross multiply
    584,240x = 882,681 × 882,681
  4. Step 4: Simplify right side
    584,240x = 779,125,747,761
  5. Step 5: Solve for x
    x = 779,125,747,761/584,240
  6. Step 6: Final answer
    x = 1,333,571.39

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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.