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Finding the Third Proportional to 428,862.50 and 630,820.50

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Solution

The third proportional to 428,862.50 and 630,820.50 is: 927,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,862.50 : 630,820.50 = 630,820.50 : x
  2. Step 2: Convert to fraction form
    428,862.50/630,820.50 = 630,820.50/x
  3. Step 3: Cross multiply
    428,862.50x = 630,820.50 × 630,820.50
  4. Step 4: Simplify right side
    428,862.50x = 397,934,503,220.25
  5. Step 5: Solve for x
    x = 397,934,503,220.25/428,862.50
  6. Step 6: Final answer
    x = 927,883.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.