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Finding the Third Proportional to 319,046,238 and 692,543,308.50

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Solution

The third proportional to 319,046,238 and 692,543,308.50 is: 1,503,281,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,046,238 : 692,543,308.50 = 692,543,308.50 : x
  2. Step 2: Convert to fraction form
    319,046,238/692,543,308.50 = 692,543,308.50/x
  3. Step 3: Cross multiply
    319,046,238x = 692,543,308.50 × 692,543,308.50
  4. Step 4: Simplify right side
    319,046,238x = 479,616,234,148,126,144
  5. Step 5: Solve for x
    x = 479,616,234,148,126,144/319,046,238
  6. Step 6: Final answer
    x = 1,503,281,270.94

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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.