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Finding the Third Proportional to 292,359 and 629,835

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Solution

The third proportional to 292,359 and 629,835 is: 1,356,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,359 : 629,835 = 629,835 : x
  2. Step 2: Convert to fraction form
    292,359/629,835 = 629,835/x
  3. Step 3: Cross multiply
    292,359x = 629,835 × 629,835
  4. Step 4: Simplify right side
    292,359x = 396,692,127,225
  5. Step 5: Solve for x
    x = 396,692,127,225/292,359
  6. Step 6: Final answer
    x = 1,356,866.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.