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Finding the Third Proportional to 437,295 and 657,292.50

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Solution

The third proportional to 437,295 and 657,292.50 is: 987,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,295 : 657,292.50 = 657,292.50 : x
  2. Step 2: Convert to fraction form
    437,295/657,292.50 = 657,292.50/x
  3. Step 3: Cross multiply
    437,295x = 657,292.50 × 657,292.50
  4. Step 4: Simplify right side
    437,295x = 432,033,430,556.25
  5. Step 5: Solve for x
    x = 432,033,430,556.25/437,295
  6. Step 6: Final answer
    x = 987,967.92

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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.