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Finding the Third Proportional to 349,740 and 540,058

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Solution

The third proportional to 349,740 and 540,058 is: 833,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,740 : 540,058 = 540,058 : x
  2. Step 2: Convert to fraction form
    349,740/540,058 = 540,058/x
  3. Step 3: Cross multiply
    349,740x = 540,058 × 540,058
  4. Step 4: Simplify right side
    349,740x = 291,662,643,364
  5. Step 5: Solve for x
    x = 291,662,643,364/349,740
  6. Step 6: Final answer
    x = 833,941.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.