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Finding the Third Proportional to 214,643 and 315,417

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Solution

The third proportional to 214,643 and 315,417 is: 463,503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,643 : 315,417 = 315,417 : x
  2. Step 2: Convert to fraction form
    214,643/315,417 = 315,417/x
  3. Step 3: Cross multiply
    214,643x = 315,417 × 315,417
  4. Step 4: Simplify right side
    214,643x = 99,487,883,889
  5. Step 5: Solve for x
    x = 99,487,883,889/214,643
  6. Step 6: Final answer
    x = 463,503.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.