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Finding the Third Proportional to 497,038.50 and 1,072,578

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Solution

The third proportional to 497,038.50 and 1,072,578 is: 2,314,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,038.50 : 1,072,578 = 1,072,578 : x
  2. Step 2: Convert to fraction form
    497,038.50/1,072,578 = 1,072,578/x
  3. Step 3: Cross multiply
    497,038.50x = 1,072,578 × 1,072,578
  4. Step 4: Simplify right side
    497,038.50x = 1,150,423,566,084
  5. Step 5: Solve for x
    x = 1,150,423,566,084/497,038.50
  6. Step 6: Final answer
    x = 2,314,556.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.