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Finding the Third Proportional to 430,035,341 and 664,063,902

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Solution

The third proportional to 430,035,341 and 664,063,902 is: 1,025,452,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,035,341 : 664,063,902 = 664,063,902 : x
  2. Step 2: Convert to fraction form
    430,035,341/664,063,902 = 664,063,902/x
  3. Step 3: Cross multiply
    430,035,341x = 664,063,902 × 664,063,902
  4. Step 4: Simplify right side
    430,035,341x = 440,980,865,939,465,600
  5. Step 5: Solve for x
    x = 440,980,865,939,465,600/430,035,341
  6. Step 6: Final answer
    x = 1,025,452,617.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.