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Finding the Third Proportional to 294,052.50 and 432,465.75

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Solution

The third proportional to 294,052.50 and 432,465.75 is: 636,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,052.50 : 432,465.75 = 432,465.75 : x
  2. Step 2: Convert to fraction form
    294,052.50/432,465.75 = 432,465.75/x
  3. Step 3: Cross multiply
    294,052.50x = 432,465.75 × 432,465.75
  4. Step 4: Simplify right side
    294,052.50x = 187,026,624,923.06
  5. Step 5: Solve for x
    x = 187,026,624,923.06/294,052.50
  6. Step 6: Final answer
    x = 636,031.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.