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Finding the Third Proportional to 346,957,712 and 757,203,952

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Solution

The third proportional to 346,957,712 and 757,203,952 is: 1,652,529,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,957,712 : 757,203,952 = 757,203,952 : x
  2. Step 2: Convert to fraction form
    346,957,712/757,203,952 = 757,203,952/x
  3. Step 3: Cross multiply
    346,957,712x = 757,203,952 × 757,203,952
  4. Step 4: Simplify right side
    346,957,712x = 573,357,824,924,418,304
  5. Step 5: Solve for x
    x = 573,357,824,924,418,304/346,957,712
  6. Step 6: Final answer
    x = 1,652,529,415.24

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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.