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Finding the Third Proportional to 364,305 and 551,547

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Solution

The third proportional to 364,305 and 551,547 is: 835,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,305 : 551,547 = 551,547 : x
  2. Step 2: Convert to fraction form
    364,305/551,547 = 551,547/x
  3. Step 3: Cross multiply
    364,305x = 551,547 × 551,547
  4. Step 4: Simplify right side
    364,305x = 304,204,093,209
  5. Step 5: Solve for x
    x = 304,204,093,209/364,305
  6. Step 6: Final answer
    x = 835,025.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.