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Finding the Third Proportional to 464,511 and 678,843

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Solution

The third proportional to 464,511 and 678,843 is: 992,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,511 : 678,843 = 678,843 : x
  2. Step 2: Convert to fraction form
    464,511/678,843 = 678,843/x
  3. Step 3: Cross multiply
    464,511x = 678,843 × 678,843
  4. Step 4: Simplify right side
    464,511x = 460,827,818,649
  5. Step 5: Solve for x
    x = 460,827,818,649/464,511
  6. Step 6: Final answer
    x = 992,070.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.