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Finding the Third Proportional to 497,634.50 and 750,574.50

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Solution

The third proportional to 497,634.50 and 750,574.50 is: 1,132,080.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,634.50 : 750,574.50 = 750,574.50 : x
  2. Step 2: Convert to fraction form
    497,634.50/750,574.50 = 750,574.50/x
  3. Step 3: Cross multiply
    497,634.50x = 750,574.50 × 750,574.50
  4. Step 4: Simplify right side
    497,634.50x = 563,362,080,050.25
  5. Step 5: Solve for x
    x = 563,362,080,050.25/497,634.50
  6. Step 6: Final answer
    x = 1,132,080.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.