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Finding the Third Proportional to 411,968 and 551,776

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Solution

The third proportional to 411,968 and 551,776 is: 739,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,968 : 551,776 = 551,776 : x
  2. Step 2: Convert to fraction form
    411,968/551,776 = 551,776/x
  3. Step 3: Cross multiply
    411,968x = 551,776 × 551,776
  4. Step 4: Simplify right side
    411,968x = 304,456,754,176
  5. Step 5: Solve for x
    x = 304,456,754,176/411,968
  6. Step 6: Final answer
    x = 739,030.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.