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Finding the Third Proportional to 314,564 and 678,952

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Solution

The third proportional to 314,564 and 678,952 is: 1,465,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,564 : 678,952 = 678,952 : x
  2. Step 2: Convert to fraction form
    314,564/678,952 = 678,952/x
  3. Step 3: Cross multiply
    314,564x = 678,952 × 678,952
  4. Step 4: Simplify right side
    314,564x = 460,975,818,304
  5. Step 5: Solve for x
    x = 460,975,818,304/314,564
  6. Step 6: Final answer
    x = 1,465,443.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.