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Finding the Third Proportional to 295,599 and 432,910.50

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Solution

The third proportional to 295,599 and 432,910.50 is: 634,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,599 : 432,910.50 = 432,910.50 : x
  2. Step 2: Convert to fraction form
    295,599/432,910.50 = 432,910.50/x
  3. Step 3: Cross multiply
    295,599x = 432,910.50 × 432,910.50
  4. Step 4: Simplify right side
    295,599x = 187,411,501,010.25
  5. Step 5: Solve for x
    x = 187,411,501,010.25/295,599
  6. Step 6: Final answer
    x = 634,005.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.