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Finding the Third Proportional to 369,301 and 803,306

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Solution

The third proportional to 369,301 and 803,306 is: 1,747,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,301 : 803,306 = 803,306 : x
  2. Step 2: Convert to fraction form
    369,301/803,306 = 803,306/x
  3. Step 3: Cross multiply
    369,301x = 803,306 × 803,306
  4. Step 4: Simplify right side
    369,301x = 645,300,529,636
  5. Step 5: Solve for x
    x = 645,300,529,636/369,301
  6. Step 6: Final answer
    x = 1,747,356.57

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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.