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Finding the Third Proportional to 510,188.63 and 753,603.75

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Solution

The third proportional to 510,188.63 and 753,603.75 is: 1,113,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,188.63 : 753,603.75 = 753,603.75 : x
  2. Step 2: Convert to fraction form
    510,188.63/753,603.75 = 753,603.75/x
  3. Step 3: Cross multiply
    510,188.63x = 753,603.75 × 753,603.75
  4. Step 4: Simplify right side
    510,188.63x = 567,918,612,014.06
  5. Step 5: Solve for x
    x = 567,918,612,014.06/510,188.63
  6. Step 6: Final answer
    x = 1,113,154.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.