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Finding the Third Proportional to 294,173 and 634,998

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Solution

The third proportional to 294,173 and 634,998 is: 1,370,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,173 : 634,998 = 634,998 : x
  2. Step 2: Convert to fraction form
    294,173/634,998 = 634,998/x
  3. Step 3: Cross multiply
    294,173x = 634,998 × 634,998
  4. Step 4: Simplify right side
    294,173x = 403,222,460,004
  5. Step 5: Solve for x
    x = 403,222,460,004/294,173
  6. Step 6: Final answer
    x = 1,370,698.40

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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.