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Finding the Third Proportional to 346,544 and 551,360

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Solution

The third proportional to 346,544 and 551,360 is: 877,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,544 : 551,360 = 551,360 : x
  2. Step 2: Convert to fraction form
    346,544/551,360 = 551,360/x
  3. Step 3: Cross multiply
    346,544x = 551,360 × 551,360
  4. Step 4: Simplify right side
    346,544x = 303,997,849,600
  5. Step 5: Solve for x
    x = 303,997,849,600/346,544
  6. Step 6: Final answer
    x = 877,227.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.