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Finding the Third Proportional to 284,148 and 435,294

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Solution

The third proportional to 284,148 and 435,294 is: 666,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,148 : 435,294 = 435,294 : x
  2. Step 2: Convert to fraction form
    284,148/435,294 = 435,294/x
  3. Step 3: Cross multiply
    284,148x = 435,294 × 435,294
  4. Step 4: Simplify right side
    284,148x = 189,480,866,436
  5. Step 5: Solve for x
    x = 189,480,866,436/284,148
  6. Step 6: Final answer
    x = 666,838.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.