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Finding the Third Proportional to 363,798 and 785,532

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Solution

The third proportional to 363,798 and 785,532 is: 1,696,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,798 : 785,532 = 785,532 : x
  2. Step 2: Convert to fraction form
    363,798/785,532 = 785,532/x
  3. Step 3: Cross multiply
    363,798x = 785,532 × 785,532
  4. Step 4: Simplify right side
    363,798x = 617,060,523,024
  5. Step 5: Solve for x
    x = 617,060,523,024/363,798
  6. Step 6: Final answer
    x = 1,696,162.49

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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.