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Finding the Third Proportional to 349,084,133.16 and 520,598,970.28

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Solution

The third proportional to 349,084,133.16 and 520,598,970.28 is: 776,383,863.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,084,133.16 : 520,598,970.28 = 520,598,970.28 : x
  2. Step 2: Convert to fraction form
    349,084,133.16/520,598,970.28 = 520,598,970.28/x
  3. Step 3: Cross multiply
    349,084,133.16x = 520,598,970.28 × 520,598,970.28
  4. Step 4: Simplify right side
    349,084,133.16x = 271,023,287,857,897,824
  5. Step 5: Solve for x
    x = 271,023,287,857,897,824/349,084,133.16
  6. Step 6: Final answer
    x = 776,383,863.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.