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Finding the Third Proportional to 366,266.25 and 750,345.75

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Solution

The third proportional to 366,266.25 and 750,345.75 is: 1,537,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,266.25 : 750,345.75 = 750,345.75 : x
  2. Step 2: Convert to fraction form
    366,266.25/750,345.75 = 750,345.75/x
  3. Step 3: Cross multiply
    366,266.25x = 750,345.75 × 750,345.75
  4. Step 4: Simplify right side
    366,266.25x = 563,018,744,543.06
  5. Step 5: Solve for x
    x = 563,018,744,543.06/366,266.25
  6. Step 6: Final answer
    x = 1,537,184.34

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.