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Finding the Third Proportional to 540,967.50 and 842,070

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Solution

The third proportional to 540,967.50 and 842,070 is: 1,310,766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,967.50 : 842,070 = 842,070 : x
  2. Step 2: Convert to fraction form
    540,967.50/842,070 = 842,070/x
  3. Step 3: Cross multiply
    540,967.50x = 842,070 × 842,070
  4. Step 4: Simplify right side
    540,967.50x = 709,081,884,900
  5. Step 5: Solve for x
    x = 709,081,884,900/540,967.50
  6. Step 6: Final answer
    x = 1,310,766.15

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.