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Finding the Third Proportional to 214,430.25 and 457,360

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Solution

The third proportional to 214,430.25 and 457,360 is: 975,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,430.25 : 457,360 = 457,360 : x
  2. Step 2: Convert to fraction form
    214,430.25/457,360 = 457,360/x
  3. Step 3: Cross multiply
    214,430.25x = 457,360 × 457,360
  4. Step 4: Simplify right side
    214,430.25x = 209,178,169,600
  5. Step 5: Solve for x
    x = 209,178,169,600/214,430.25
  6. Step 6: Final answer
    x = 975,506.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.