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Finding the Third Proportional to 352,133,464 and 772,291,376

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Solution

The third proportional to 352,133,464 and 772,291,376 is: 1,693,772,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,133,464 : 772,291,376 = 772,291,376 : x
  2. Step 2: Convert to fraction form
    352,133,464/772,291,376 = 772,291,376/x
  3. Step 3: Cross multiply
    352,133,464x = 772,291,376 × 772,291,376
  4. Step 4: Simplify right side
    352,133,464x = 596,433,969,443,973,376
  5. Step 5: Solve for x
    x = 596,433,969,443,973,376/352,133,464
  6. Step 6: Final answer
    x = 1,693,772,476.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.