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Finding the Third Proportional to 369,700 and 797,072

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Solution

The third proportional to 369,700 and 797,072 is: 1,718,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,700 : 797,072 = 797,072 : x
  2. Step 2: Convert to fraction form
    369,700/797,072 = 797,072/x
  3. Step 3: Cross multiply
    369,700x = 797,072 × 797,072
  4. Step 4: Simplify right side
    369,700x = 635,323,773,184
  5. Step 5: Solve for x
    x = 635,323,773,184/369,700
  6. Step 6: Final answer
    x = 1,718,484.64

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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.