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Finding the Third Proportional to 295,459.31 and 432,707.06

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Solution

The third proportional to 295,459.31 and 432,707.06 is: 633,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,459.31 : 432,707.06 = 432,707.06 : x
  2. Step 2: Convert to fraction form
    295,459.31/432,707.06 = 432,707.06/x
  3. Step 3: Cross multiply
    295,459.31x = 432,707.06 × 432,707.06
  4. Step 4: Simplify right side
    295,459.31x = 187,235,401,937.38
  5. Step 5: Solve for x
    x = 187,235,401,937.38/295,459.31
  6. Step 6: Final answer
    x = 633,709.60

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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.