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Finding the Third Proportional to 535,348 and 782,904

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Solution

The third proportional to 535,348 and 782,904 is: 1,144,935.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,348 : 782,904 = 782,904 : x
  2. Step 2: Convert to fraction form
    535,348/782,904 = 782,904/x
  3. Step 3: Cross multiply
    535,348x = 782,904 × 782,904
  4. Step 4: Simplify right side
    535,348x = 612,938,673,216
  5. Step 5: Solve for x
    x = 612,938,673,216/535,348
  6. Step 6: Final answer
    x = 1,144,935.02

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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.