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Finding the Third Proportional to 586,674 and 881,307

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Solution

The third proportional to 586,674 and 881,307 is: 1,323,907.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,674 : 881,307 = 881,307 : x
  2. Step 2: Convert to fraction form
    586,674/881,307 = 881,307/x
  3. Step 3: Cross multiply
    586,674x = 881,307 × 881,307
  4. Step 4: Simplify right side
    586,674x = 776,702,028,249
  5. Step 5: Solve for x
    x = 776,702,028,249/586,674
  6. Step 6: Final answer
    x = 1,323,907.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.