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Finding the Third Proportional to 273,863 and 597,547

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Solution

The third proportional to 273,863 and 597,547 is: 1,303,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,863 : 597,547 = 597,547 : x
  2. Step 2: Convert to fraction form
    273,863/597,547 = 597,547/x
  3. Step 3: Cross multiply
    273,863x = 597,547 × 597,547
  4. Step 4: Simplify right side
    273,863x = 357,062,417,209
  5. Step 5: Solve for x
    x = 357,062,417,209/273,863
  6. Step 6: Final answer
    x = 1,303,799.41

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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.