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Finding the Third Proportional to 296,448,352 and 643,929,232

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Solution

The third proportional to 296,448,352 and 643,929,232 is: 1,398,708,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,448,352 : 643,929,232 = 643,929,232 : x
  2. Step 2: Convert to fraction form
    296,448,352/643,929,232 = 643,929,232/x
  3. Step 3: Cross multiply
    296,448,352x = 643,929,232 × 643,929,232
  4. Step 4: Simplify right side
    296,448,352x = 414,644,855,824,109,824
  5. Step 5: Solve for x
    x = 414,644,855,824,109,824/296,448,352
  6. Step 6: Final answer
    x = 1,398,708,587.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.