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Finding the Third Proportional to 286,828,800 and 433,657,152

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Solution

The third proportional to 286,828,800 and 433,657,152 is: 655,647,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,828,800 : 433,657,152 = 433,657,152 : x
  2. Step 2: Convert to fraction form
    286,828,800/433,657,152 = 433,657,152/x
  3. Step 3: Cross multiply
    286,828,800x = 433,657,152 × 433,657,152
  4. Step 4: Simplify right side
    286,828,800x = 188,058,525,480,751,104
  5. Step 5: Solve for x
    x = 188,058,525,480,751,104/286,828,800
  6. Step 6: Final answer
    x = 655,647,290.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.