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Finding the Third Proportional to 346,546 and 551,363

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Solution

The third proportional to 346,546 and 551,363 is: 877,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,546 : 551,363 = 551,363 : x
  2. Step 2: Convert to fraction form
    346,546/551,363 = 551,363/x
  3. Step 3: Cross multiply
    346,546x = 551,363 × 551,363
  4. Step 4: Simplify right side
    346,546x = 304,001,157,769
  5. Step 5: Solve for x
    x = 304,001,157,769/346,546
  6. Step 6: Final answer
    x = 877,231.76

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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.