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Finding the Third Proportional to 384,312 and 613,944

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Solution

The third proportional to 384,312 and 613,944 is: 980,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,312 : 613,944 = 613,944 : x
  2. Step 2: Convert to fraction form
    384,312/613,944 = 613,944/x
  3. Step 3: Cross multiply
    384,312x = 613,944 × 613,944
  4. Step 4: Simplify right side
    384,312x = 376,927,235,136
  5. Step 5: Solve for x
    x = 376,927,235,136/384,312
  6. Step 6: Final answer
    x = 980,784.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.