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Finding the Third Proportional to 197,528 and 432,564

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Solution

The third proportional to 197,528 and 432,564 is: 947,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,528 : 432,564 = 432,564 : x
  2. Step 2: Convert to fraction form
    197,528/432,564 = 432,564/x
  3. Step 3: Cross multiply
    197,528x = 432,564 × 432,564
  4. Step 4: Simplify right side
    197,528x = 187,111,614,096
  5. Step 5: Solve for x
    x = 187,111,614,096/197,528
  6. Step 6: Final answer
    x = 947,266.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.