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Finding the Third Proportional to 387,056 and 586,418

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Solution

The third proportional to 387,056 and 586,418 is: 888,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,056 : 586,418 = 586,418 : x
  2. Step 2: Convert to fraction form
    387,056/586,418 = 586,418/x
  3. Step 3: Cross multiply
    387,056x = 586,418 × 586,418
  4. Step 4: Simplify right side
    387,056x = 343,886,070,724
  5. Step 5: Solve for x
    x = 343,886,070,724/387,056
  6. Step 6: Final answer
    x = 888,465.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.