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Finding the Third Proportional to 344,222 and 495,776

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Solution

The third proportional to 344,222 and 495,776 is: 714,056.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,222 : 495,776 = 495,776 : x
  2. Step 2: Convert to fraction form
    344,222/495,776 = 495,776/x
  3. Step 3: Cross multiply
    344,222x = 495,776 × 495,776
  4. Step 4: Simplify right side
    344,222x = 245,793,842,176
  5. Step 5: Solve for x
    x = 245,793,842,176/344,222
  6. Step 6: Final answer
    x = 714,056.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.