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Finding the Third Proportional to 585,268 and 928,664

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Solution

The third proportional to 585,268 and 928,664 is: 1,473,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,268 : 928,664 = 928,664 : x
  2. Step 2: Convert to fraction form
    585,268/928,664 = 928,664/x
  3. Step 3: Cross multiply
    585,268x = 928,664 × 928,664
  4. Step 4: Simplify right side
    585,268x = 862,416,824,896
  5. Step 5: Solve for x
    x = 862,416,824,896/585,268
  6. Step 6: Final answer
    x = 1,473,541.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.