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Finding the Third Proportional to 714,360 and 972,823.50

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Solution

The third proportional to 714,360 and 972,823.50 is: 1,324,802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,360 : 972,823.50 = 972,823.50 : x
  2. Step 2: Convert to fraction form
    714,360/972,823.50 = 972,823.50/x
  3. Step 3: Cross multiply
    714,360x = 972,823.50 × 972,823.50
  4. Step 4: Simplify right side
    714,360x = 946,385,562,152.25
  5. Step 5: Solve for x
    x = 946,385,562,152.25/714,360
  6. Step 6: Final answer
    x = 1,324,802.01

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.