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Finding the Third Proportional to 254,360 and 404,893.50

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Solution

The third proportional to 254,360 and 404,893.50 is: 644,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,360 : 404,893.50 = 404,893.50 : x
  2. Step 2: Convert to fraction form
    254,360/404,893.50 = 404,893.50/x
  3. Step 3: Cross multiply
    254,360x = 404,893.50 × 404,893.50
  4. Step 4: Simplify right side
    254,360x = 163,938,746,342.25
  5. Step 5: Solve for x
    x = 163,938,746,342.25/254,360
  6. Step 6: Final answer
    x = 644,514.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.