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Finding the Third Proportional to 296,210.25 and 423,285.75

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Solution

The third proportional to 296,210.25 and 423,285.75 is: 604,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,210.25 : 423,285.75 = 423,285.75 : x
  2. Step 2: Convert to fraction form
    296,210.25/423,285.75 = 423,285.75/x
  3. Step 3: Cross multiply
    296,210.25x = 423,285.75 × 423,285.75
  4. Step 4: Simplify right side
    296,210.25x = 179,170,826,153.06
  5. Step 5: Solve for x
    x = 179,170,826,153.06/296,210.25
  6. Step 6: Final answer
    x = 604,877.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.