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Finding the Third Proportional to 294,176 and 634,999

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Solution

The third proportional to 294,176 and 634,999 is: 1,370,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,176 : 634,999 = 634,999 : x
  2. Step 2: Convert to fraction form
    294,176/634,999 = 634,999/x
  3. Step 3: Cross multiply
    294,176x = 634,999 × 634,999
  4. Step 4: Simplify right side
    294,176x = 403,223,730,001
  5. Step 5: Solve for x
    x = 403,223,730,001/294,176
  6. Step 6: Final answer
    x = 1,370,688.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.