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Finding the Third Proportional to 233,430 and 360,508

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Solution

The third proportional to 233,430 and 360,508 is: 556,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,430 : 360,508 = 360,508 : x
  2. Step 2: Convert to fraction form
    233,430/360,508 = 360,508/x
  3. Step 3: Cross multiply
    233,430x = 360,508 × 360,508
  4. Step 4: Simplify right side
    233,430x = 129,966,018,064
  5. Step 5: Solve for x
    x = 129,966,018,064/233,430
  6. Step 6: Final answer
    x = 556,766.56

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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.