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Finding the Third Proportional to 254,436,294 and 553,926,430

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Solution

The third proportional to 254,436,294 and 553,926,430 is: 1,205,938,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,436,294 : 553,926,430 = 553,926,430 : x
  2. Step 2: Convert to fraction form
    254,436,294/553,926,430 = 553,926,430/x
  3. Step 3: Cross multiply
    254,436,294x = 553,926,430 × 553,926,430
  4. Step 4: Simplify right side
    254,436,294x = 306,834,489,852,544,896
  5. Step 5: Solve for x
    x = 306,834,489,852,544,896/254,436,294
  6. Step 6: Final answer
    x = 1,205,938,370.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.