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Finding the Third Proportional to 302,740.50 and 684,130.50

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Solution

The third proportional to 302,740.50 and 684,130.50 is: 1,545,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,740.50 : 684,130.50 = 684,130.50 : x
  2. Step 2: Convert to fraction form
    302,740.50/684,130.50 = 684,130.50/x
  3. Step 3: Cross multiply
    302,740.50x = 684,130.50 × 684,130.50
  4. Step 4: Simplify right side
    302,740.50x = 468,034,541,030.25
  5. Step 5: Solve for x
    x = 468,034,541,030.25/302,740.50
  6. Step 6: Final answer
    x = 1,545,992.50

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.