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Finding the Third Proportional to 328,814,378 and 715,513,335

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Solution

The third proportional to 328,814,378 and 715,513,335 is: 1,556,985,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,814,378 : 715,513,335 = 715,513,335 : x
  2. Step 2: Convert to fraction form
    328,814,378/715,513,335 = 715,513,335/x
  3. Step 3: Cross multiply
    328,814,378x = 715,513,335 × 715,513,335
  4. Step 4: Simplify right side
    328,814,378x = 511,959,332,562,822,208
  5. Step 5: Solve for x
    x = 511,959,332,562,822,208/328,814,378
  6. Step 6: Final answer
    x = 1,556,985,846.17

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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.