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Finding the Third Proportional to 302,222 and 651,657

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Solution

The third proportional to 302,222 and 651,657 is: 1,405,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,222 : 651,657 = 651,657 : x
  2. Step 2: Convert to fraction form
    302,222/651,657 = 651,657/x
  3. Step 3: Cross multiply
    302,222x = 651,657 × 651,657
  4. Step 4: Simplify right side
    302,222x = 424,656,845,649
  5. Step 5: Solve for x
    x = 424,656,845,649/302,222
  6. Step 6: Final answer
    x = 1,405,115.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.