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Finding the Third Proportional to 651,726 and 910,480.50

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Solution

The third proportional to 651,726 and 910,480.50 is: 1,271,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,726 : 910,480.50 = 910,480.50 : x
  2. Step 2: Convert to fraction form
    651,726/910,480.50 = 910,480.50/x
  3. Step 3: Cross multiply
    651,726x = 910,480.50 × 910,480.50
  4. Step 4: Simplify right side
    651,726x = 828,974,740,880.25
  5. Step 5: Solve for x
    x = 828,974,740,880.25/651,726
  6. Step 6: Final answer
    x = 1,271,968.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.