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Finding the Third Proportional to 233,038.38 and 510,539.75

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Solution

The third proportional to 233,038.38 and 510,539.75 is: 1,118,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,038.38 : 510,539.75 = 510,539.75 : x
  2. Step 2: Convert to fraction form
    233,038.38/510,539.75 = 510,539.75/x
  3. Step 3: Cross multiply
    233,038.38x = 510,539.75 × 510,539.75
  4. Step 4: Simplify right side
    233,038.38x = 260,650,836,330.06
  5. Step 5: Solve for x
    x = 260,650,836,330.06/233,038.38
  6. Step 6: Final answer
    x = 1,118,488.90

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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.