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Finding the Third Proportional to 251,084 and 519,547

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Solution

The third proportional to 251,084 and 519,547 is: 1,075,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,084 : 519,547 = 519,547 : x
  2. Step 2: Convert to fraction form
    251,084/519,547 = 519,547/x
  3. Step 3: Cross multiply
    251,084x = 519,547 × 519,547
  4. Step 4: Simplify right side
    251,084x = 269,929,085,209
  5. Step 5: Solve for x
    x = 269,929,085,209/251,084
  6. Step 6: Final answer
    x = 1,075,054.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.