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Finding the Third Proportional to 284,432 and 609,346

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Solution

The third proportional to 284,432 and 609,346 is: 1,305,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,432 : 609,346 = 609,346 : x
  2. Step 2: Convert to fraction form
    284,432/609,346 = 609,346/x
  3. Step 3: Cross multiply
    284,432x = 609,346 × 609,346
  4. Step 4: Simplify right side
    284,432x = 371,302,547,716
  5. Step 5: Solve for x
    x = 371,302,547,716/284,432
  6. Step 6: Final answer
    x = 1,305,417.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.