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Finding the Third Proportional to 296,220 and 423,298.50

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Solution

The third proportional to 296,220 and 423,298.50 is: 604,893.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,220 : 423,298.50 = 423,298.50 : x
  2. Step 2: Convert to fraction form
    296,220/423,298.50 = 423,298.50/x
  3. Step 3: Cross multiply
    296,220x = 423,298.50 × 423,298.50
  4. Step 4: Simplify right side
    296,220x = 179,181,620,102.25
  5. Step 5: Solve for x
    x = 179,181,620,102.25/296,220
  6. Step 6: Final answer
    x = 604,893.73

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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.