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Finding the Third Proportional to 302,756,289 and 662,829,438

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Solution

The third proportional to 302,756,289 and 662,829,438 is: 1,451,143,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,756,289 : 662,829,438 = 662,829,438 : x
  2. Step 2: Convert to fraction form
    302,756,289/662,829,438 = 662,829,438/x
  3. Step 3: Cross multiply
    302,756,289x = 662,829,438 × 662,829,438
  4. Step 4: Simplify right side
    302,756,289x = 439,342,863,879,395,840
  5. Step 5: Solve for x
    x = 439,342,863,879,395,840/302,756,289
  6. Step 6: Final answer
    x = 1,451,143,642.07

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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.