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Finding the Third Proportional to 260,298 and 570,402

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Solution

The third proportional to 260,298 and 570,402 is: 1,249,945.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,298 : 570,402 = 570,402 : x
  2. Step 2: Convert to fraction form
    260,298/570,402 = 570,402/x
  3. Step 3: Cross multiply
    260,298x = 570,402 × 570,402
  4. Step 4: Simplify right side
    260,298x = 325,358,441,604
  5. Step 5: Solve for x
    x = 325,358,441,604/260,298
  6. Step 6: Final answer
    x = 1,249,945.99

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Why These Related Problems?

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