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Finding the Third Proportional to 535,358 and 782,922

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Solution

The third proportional to 535,358 and 782,922 is: 1,144,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,358 : 782,922 = 782,922 : x
  2. Step 2: Convert to fraction form
    535,358/782,922 = 782,922/x
  3. Step 3: Cross multiply
    535,358x = 782,922 × 782,922
  4. Step 4: Simplify right side
    535,358x = 612,966,858,084
  5. Step 5: Solve for x
    x = 612,966,858,084/535,358
  6. Step 6: Final answer
    x = 1,144,966.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.