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Finding the Third Proportional to 233,046 and 510,554

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Solution

The third proportional to 233,046 and 510,554 is: 1,118,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,046 : 510,554 = 510,554 : x
  2. Step 2: Convert to fraction form
    233,046/510,554 = 510,554/x
  3. Step 3: Cross multiply
    233,046x = 510,554 × 510,554
  4. Step 4: Simplify right side
    233,046x = 260,665,386,916
  5. Step 5: Solve for x
    x = 260,665,386,916/233,046
  6. Step 6: Final answer
    x = 1,118,514.74

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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.