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Finding the Third Proportional to 233,136 and 508,428

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Solution

The third proportional to 233,136 and 508,428 is: 1,108,790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,136 : 508,428 = 508,428 : x
  2. Step 2: Convert to fraction form
    233,136/508,428 = 508,428/x
  3. Step 3: Cross multiply
    233,136x = 508,428 × 508,428
  4. Step 4: Simplify right side
    233,136x = 258,499,031,184
  5. Step 5: Solve for x
    x = 258,499,031,184/233,136
  6. Step 6: Final answer
    x = 1,108,790.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.