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Finding the Third Proportional to 346,048.50 and 487,090.50

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Solution

The third proportional to 346,048.50 and 487,090.50 is: 685,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,048.50 : 487,090.50 = 487,090.50 : x
  2. Step 2: Convert to fraction form
    346,048.50/487,090.50 = 487,090.50/x
  3. Step 3: Cross multiply
    346,048.50x = 487,090.50 × 487,090.50
  4. Step 4: Simplify right side
    346,048.50x = 237,257,155,190.25
  5. Step 5: Solve for x
    x = 237,257,155,190.25/346,048.50
  6. Step 6: Final answer
    x = 685,618.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.