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Finding the Third Proportional to 302,756,286 and 662,829,432

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Solution

The third proportional to 302,756,286 and 662,829,432 is: 1,451,143,630.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,756,286 : 662,829,432 = 662,829,432 : x
  2. Step 2: Convert to fraction form
    302,756,286/662,829,432 = 662,829,432/x
  3. Step 3: Cross multiply
    302,756,286x = 662,829,432 × 662,829,432
  4. Step 4: Simplify right side
    302,756,286x = 439,342,855,925,442,624
  5. Step 5: Solve for x
    x = 439,342,855,925,442,624/302,756,286
  6. Step 6: Final answer
    x = 1,451,143,630.18

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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.