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Finding the Third Proportional to 302,756,288 and 662,829,436

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Solution

The third proportional to 302,756,288 and 662,829,436 is: 1,451,143,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,756,288 : 662,829,436 = 662,829,436 : x
  2. Step 2: Convert to fraction form
    302,756,288/662,829,436 = 662,829,436/x
  3. Step 3: Cross multiply
    302,756,288x = 662,829,436 × 662,829,436
  4. Step 4: Simplify right side
    302,756,288x = 439,342,861,228,078,080
  5. Step 5: Solve for x
    x = 439,342,861,228,078,080/302,756,288
  6. Step 6: Final answer
    x = 1,451,143,638.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.