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Finding the Third Proportional to 319,046,241 and 692,543,314.50

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Solution

The third proportional to 319,046,241 and 692,543,314.50 is: 1,503,281,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,046,241 : 692,543,314.50 = 692,543,314.50 : x
  2. Step 2: Convert to fraction form
    319,046,241/692,543,314.50 = 692,543,314.50/x
  3. Step 3: Cross multiply
    319,046,241x = 692,543,314.50 × 692,543,314.50
  4. Step 4: Simplify right side
    319,046,241x = 479,616,242,458,645,888
  5. Step 5: Solve for x
    x = 479,616,242,458,645,888/319,046,241
  6. Step 6: Final answer
    x = 1,503,281,282.85

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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.