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Finding the Third Proportional to 233,580 and 510,778

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Solution

The third proportional to 233,580 and 510,778 is: 1,116,937.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,580 : 510,778 = 510,778 : x
  2. Step 2: Convert to fraction form
    233,580/510,778 = 510,778/x
  3. Step 3: Cross multiply
    233,580x = 510,778 × 510,778
  4. Step 4: Simplify right side
    233,580x = 260,894,165,284
  5. Step 5: Solve for x
    x = 260,894,165,284/233,580
  6. Step 6: Final answer
    x = 1,116,937.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.