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Finding the Third Proportional to 369,729 and 795,501

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Solution

The third proportional to 369,729 and 795,501 is: 1,711,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,729 : 795,501 = 795,501 : x
  2. Step 2: Convert to fraction form
    369,729/795,501 = 795,501/x
  3. Step 3: Cross multiply
    369,729x = 795,501 × 795,501
  4. Step 4: Simplify right side
    369,729x = 632,821,841,001
  5. Step 5: Solve for x
    x = 632,821,841,001/369,729
  6. Step 6: Final answer
    x = 1,711,582.92

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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.