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Finding the Third Proportional to 358,046 and 501,914

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Solution

The third proportional to 358,046 and 501,914 is: 703,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,046 : 501,914 = 501,914 : x
  2. Step 2: Convert to fraction form
    358,046/501,914 = 501,914/x
  3. Step 3: Cross multiply
    358,046x = 501,914 × 501,914
  4. Step 4: Simplify right side
    358,046x = 251,917,663,396
  5. Step 5: Solve for x
    x = 251,917,663,396/358,046
  6. Step 6: Final answer
    x = 703,590.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.