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Finding the Third Proportional to 319,370,176 and 692,947,504

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Solution

The third proportional to 319,370,176 and 692,947,504 is: 1,503,509,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,370,176 : 692,947,504 = 692,947,504 : x
  2. Step 2: Convert to fraction form
    319,370,176/692,947,504 = 692,947,504/x
  3. Step 3: Cross multiply
    319,370,176x = 692,947,504 × 692,947,504
  4. Step 4: Simplify right side
    319,370,176x = 480,176,243,299,830,016
  5. Step 5: Solve for x
    x = 480,176,243,299,830,016/319,370,176
  6. Step 6: Final answer
    x = 1,503,509,968.63

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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.