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Finding the Third Proportional to 235,429,794 and 549,895,284

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Solution

The third proportional to 235,429,794 and 549,895,284 is: 1,284,394,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,429,794 : 549,895,284 = 549,895,284 : x
  2. Step 2: Convert to fraction form
    235,429,794/549,895,284 = 549,895,284/x
  3. Step 3: Cross multiply
    235,429,794x = 549,895,284 × 549,895,284
  4. Step 4: Simplify right side
    235,429,794x = 302,384,823,365,440,640
  5. Step 5: Solve for x
    x = 302,384,823,365,440,640/235,429,794
  6. Step 6: Final answer
    x = 1,284,394,885.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.