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Finding the Third Proportional to 654,702.75 and 1,009,057.50

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Solution

The third proportional to 654,702.75 and 1,009,057.50 is: 1,555,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,702.75 : 1,009,057.50 = 1,009,057.50 : x
  2. Step 2: Convert to fraction form
    654,702.75/1,009,057.50 = 1,009,057.50/x
  3. Step 3: Cross multiply
    654,702.75x = 1,009,057.50 × 1,009,057.50
  4. Step 4: Simplify right side
    654,702.75x = 1,018,197,038,306.25
  5. Step 5: Solve for x
    x = 1,018,197,038,306.25/654,702.75
  6. Step 6: Final answer
    x = 1,555,205.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.