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Finding the Third Proportional to 233,428 and 360,505

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Solution

The third proportional to 233,428 and 360,505 is: 556,762.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,428 : 360,505 = 360,505 : x
  2. Step 2: Convert to fraction form
    233,428/360,505 = 360,505/x
  3. Step 3: Cross multiply
    233,428x = 360,505 × 360,505
  4. Step 4: Simplify right side
    233,428x = 129,963,855,025
  5. Step 5: Solve for x
    x = 129,963,855,025/233,428
  6. Step 6: Final answer
    x = 556,762.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.