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Finding the Third Proportional to 329,793,417 and 716,413,842

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Solution

The third proportional to 329,793,417 and 716,413,842 is: 1,556,273,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,793,417 : 716,413,842 = 716,413,842 : x
  2. Step 2: Convert to fraction form
    329,793,417/716,413,842 = 716,413,842/x
  3. Step 3: Cross multiply
    329,793,417x = 716,413,842 × 716,413,842
  4. Step 4: Simplify right side
    329,793,417x = 513,248,793,009,200,960
  5. Step 5: Solve for x
    x = 513,248,793,009,200,960/329,793,417
  6. Step 6: Final answer
    x = 1,556,273,614.19

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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.