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Finding the Third Proportional to 243,458 and 525,796

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Solution

The third proportional to 243,458 and 525,796 is: 1,135,561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,458 : 525,796 = 525,796 : x
  2. Step 2: Convert to fraction form
    243,458/525,796 = 525,796/x
  3. Step 3: Cross multiply
    243,458x = 525,796 × 525,796
  4. Step 4: Simplify right side
    243,458x = 276,461,433,616
  5. Step 5: Solve for x
    x = 276,461,433,616/243,458
  6. Step 6: Final answer
    x = 1,135,561.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.