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Finding the Third Proportional to 531,445.50 and 807,010

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Solution

The third proportional to 531,445.50 and 807,010 is: 1,225,459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,445.50 : 807,010 = 807,010 : x
  2. Step 2: Convert to fraction form
    531,445.50/807,010 = 807,010/x
  3. Step 3: Cross multiply
    531,445.50x = 807,010 × 807,010
  4. Step 4: Simplify right side
    531,445.50x = 651,265,140,100
  5. Step 5: Solve for x
    x = 651,265,140,100/531,445.50
  6. Step 6: Final answer
    x = 1,225,459.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.