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Finding the Third Proportional to 303,322,528 and 653,367,584

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Solution

The third proportional to 303,322,528 and 653,367,584 is: 1,407,377,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,322,528 : 653,367,584 = 653,367,584 : x
  2. Step 2: Convert to fraction form
    303,322,528/653,367,584 = 653,367,584/x
  3. Step 3: Cross multiply
    303,322,528x = 653,367,584 × 653,367,584
  4. Step 4: Simplify right side
    303,322,528x = 426,889,199,821,997,056
  5. Step 5: Solve for x
    x = 426,889,199,821,997,056/303,322,528
  6. Step 6: Final answer
    x = 1,407,377,165.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.