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Finding the Third Proportional to 648,007.50 and 980,943

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Solution

The third proportional to 648,007.50 and 980,943 is: 1,484,935.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,007.50 : 980,943 = 980,943 : x
  2. Step 2: Convert to fraction form
    648,007.50/980,943 = 980,943/x
  3. Step 3: Cross multiply
    648,007.50x = 980,943 × 980,943
  4. Step 4: Simplify right side
    648,007.50x = 962,249,169,249
  5. Step 5: Solve for x
    x = 962,249,169,249/648,007.50
  6. Step 6: Final answer
    x = 1,484,935.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.