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Finding the Third Proportional to 586,678 and 881,313

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Solution

The third proportional to 586,678 and 881,313 is: 1,323,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,678 : 881,313 = 881,313 : x
  2. Step 2: Convert to fraction form
    586,678/881,313 = 881,313/x
  3. Step 3: Cross multiply
    586,678x = 881,313 × 881,313
  4. Step 4: Simplify right side
    586,678x = 776,712,603,969
  5. Step 5: Solve for x
    x = 776,712,603,969/586,678
  6. Step 6: Final answer
    x = 1,323,916.36

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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.