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Finding the Third Proportional to 317,232 and 510,024

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Solution

The third proportional to 317,232 and 510,024 is: 819,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,232 : 510,024 = 510,024 : x
  2. Step 2: Convert to fraction form
    317,232/510,024 = 510,024/x
  3. Step 3: Cross multiply
    317,232x = 510,024 × 510,024
  4. Step 4: Simplify right side
    317,232x = 260,124,480,576
  5. Step 5: Solve for x
    x = 260,124,480,576/317,232
  6. Step 6: Final answer
    x = 819,981.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.