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Finding the Third Proportional to 233,528 and 513,712

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Solution

The third proportional to 233,528 and 513,712 is: 1,130,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,528 : 513,712 = 513,712 : x
  2. Step 2: Convert to fraction form
    233,528/513,712 = 513,712/x
  3. Step 3: Cross multiply
    233,528x = 513,712 × 513,712
  4. Step 4: Simplify right side
    233,528x = 263,900,018,944
  5. Step 5: Solve for x
    x = 263,900,018,944/233,528
  6. Step 6: Final answer
    x = 1,130,057.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.