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Finding the Third Proportional to 328,971 and 492,127.50

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Solution

The third proportional to 328,971 and 492,127.50 is: 736,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,971 : 492,127.50 = 492,127.50 : x
  2. Step 2: Convert to fraction form
    328,971/492,127.50 = 492,127.50/x
  3. Step 3: Cross multiply
    328,971x = 492,127.50 × 492,127.50
  4. Step 4: Simplify right side
    328,971x = 242,189,476,256.25
  5. Step 5: Solve for x
    x = 242,189,476,256.25/328,971
  6. Step 6: Final answer
    x = 736,203.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.