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Finding the Third Proportional to 349,983 and 513,492.75

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Solution

The third proportional to 349,983 and 513,492.75 is: 753,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,983 : 513,492.75 = 513,492.75 : x
  2. Step 2: Convert to fraction form
    349,983/513,492.75 = 513,492.75/x
  3. Step 3: Cross multiply
    349,983x = 513,492.75 × 513,492.75
  4. Step 4: Simplify right side
    349,983x = 263,674,804,302.56
  5. Step 5: Solve for x
    x = 263,674,804,302.56/349,983
  6. Step 6: Final answer
    x = 753,393.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.