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Finding the Third Proportional to 348,454,288 and 758,358,875

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Solution

The third proportional to 348,454,288 and 758,358,875 is: 1,650,455,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,454,288 : 758,358,875 = 758,358,875 : x
  2. Step 2: Convert to fraction form
    348,454,288/758,358,875 = 758,358,875/x
  3. Step 3: Cross multiply
    348,454,288x = 758,358,875 × 758,358,875
  4. Step 4: Simplify right side
    348,454,288x = 575,108,183,291,265,600
  5. Step 5: Solve for x
    x = 575,108,183,291,265,600/348,454,288
  6. Step 6: Final answer
    x = 1,650,455,176.18

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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.