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Finding the Third Proportional to 233,040 and 510,543

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Solution

The third proportional to 233,040 and 510,543 is: 1,118,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,040 : 510,543 = 510,543 : x
  2. Step 2: Convert to fraction form
    233,040/510,543 = 510,543/x
  3. Step 3: Cross multiply
    233,040x = 510,543 × 510,543
  4. Step 4: Simplify right side
    233,040x = 260,654,154,849
  5. Step 5: Solve for x
    x = 260,654,154,849/233,040
  6. Step 6: Final answer
    x = 1,118,495.34

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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.