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Finding the Third Proportional to 233,428 and 360,507

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Solution

The third proportional to 233,428 and 360,507 is: 556,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,428 : 360,507 = 360,507 : x
  2. Step 2: Convert to fraction form
    233,428/360,507 = 360,507/x
  3. Step 3: Cross multiply
    233,428x = 360,507 × 360,507
  4. Step 4: Simplify right side
    233,428x = 129,965,297,049
  5. Step 5: Solve for x
    x = 129,965,297,049/233,428
  6. Step 6: Final answer
    x = 556,768.24

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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.