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Finding the Third Proportional to 535,550 and 773,841

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Solution

The third proportional to 535,550 and 773,841 is: 1,118,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,550 : 773,841 = 773,841 : x
  2. Step 2: Convert to fraction form
    535,550/773,841 = 773,841/x
  3. Step 3: Cross multiply
    535,550x = 773,841 × 773,841
  4. Step 4: Simplify right side
    535,550x = 598,829,893,281
  5. Step 5: Solve for x
    x = 598,829,893,281/535,550
  6. Step 6: Final answer
    x = 1,118,158.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.