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Finding the Third Proportional to 319,560,580 and 688,486,184

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Solution

The third proportional to 319,560,580 and 688,486,184 is: 1,483,328,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,560,580 : 688,486,184 = 688,486,184 : x
  2. Step 2: Convert to fraction form
    319,560,580/688,486,184 = 688,486,184/x
  3. Step 3: Cross multiply
    319,560,580x = 688,486,184 × 688,486,184
  4. Step 4: Simplify right side
    319,560,580x = 474,013,225,558,881,856
  5. Step 5: Solve for x
    x = 474,013,225,558,881,856/319,560,580
  6. Step 6: Final answer
    x = 1,483,328,217.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.