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Finding the Third Proportional to 369,297 and 803,298.66

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Solution

The third proportional to 369,297 and 803,298.66 is: 1,747,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,297 : 803,298.66 = 803,298.66 : x
  2. Step 2: Convert to fraction form
    369,297/803,298.66 = 803,298.66/x
  3. Step 3: Cross multiply
    369,297x = 803,298.66 × 803,298.66
  4. Step 4: Simplify right side
    369,297x = 645,288,731,133.06
  5. Step 5: Solve for x
    x = 645,288,731,133.06/369,297
  6. Step 6: Final answer
    x = 1,747,343.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.