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Finding the Third Proportional to 572,240 and 884,664

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Solution

The third proportional to 572,240 and 884,664 is: 1,367,661.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,240 : 884,664 = 884,664 : x
  2. Step 2: Convert to fraction form
    572,240/884,664 = 884,664/x
  3. Step 3: Cross multiply
    572,240x = 884,664 × 884,664
  4. Step 4: Simplify right side
    572,240x = 782,630,392,896
  5. Step 5: Solve for x
    x = 782,630,392,896/572,240
  6. Step 6: Final answer
    x = 1,367,661.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.