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Finding the Third Proportional to 260,355 and 570,646.50

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Solution

The third proportional to 260,355 and 570,646.50 is: 1,250,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,355 : 570,646.50 = 570,646.50 : x
  2. Step 2: Convert to fraction form
    260,355/570,646.50 = 570,646.50/x
  3. Step 3: Cross multiply
    260,355x = 570,646.50 × 570,646.50
  4. Step 4: Simplify right side
    260,355x = 325,637,427,962.25
  5. Step 5: Solve for x
    x = 325,637,427,962.25/260,355
  6. Step 6: Final answer
    x = 1,250,743.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.