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Finding the Third Proportional to 535,788 and 810,570

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Solution

The third proportional to 535,788 and 810,570 is: 1,226,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,788 : 810,570 = 810,570 : x
  2. Step 2: Convert to fraction form
    535,788/810,570 = 810,570/x
  3. Step 3: Cross multiply
    535,788x = 810,570 × 810,570
  4. Step 4: Simplify right side
    535,788x = 657,023,724,900
  5. Step 5: Solve for x
    x = 657,023,724,900/535,788
  6. Step 6: Final answer
    x = 1,226,275.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.