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Finding the Third Proportional to 506,830.50 and 758,740.50

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Solution

The third proportional to 506,830.50 and 758,740.50 is: 1,135,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,830.50 : 758,740.50 = 758,740.50 : x
  2. Step 2: Convert to fraction form
    506,830.50/758,740.50 = 758,740.50/x
  3. Step 3: Cross multiply
    506,830.50x = 758,740.50 × 758,740.50
  4. Step 4: Simplify right side
    506,830.50x = 575,687,146,340.25
  5. Step 5: Solve for x
    x = 575,687,146,340.25/506,830.50
  6. Step 6: Final answer
    x = 1,135,857.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.