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Finding the Third Proportional to 500,035.50 and 714,534.75

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Solution

The third proportional to 500,035.50 and 714,534.75 is: 1,021,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,035.50 : 714,534.75 = 714,534.75 : x
  2. Step 2: Convert to fraction form
    500,035.50/714,534.75 = 714,534.75/x
  3. Step 3: Cross multiply
    500,035.50x = 714,534.75 × 714,534.75
  4. Step 4: Simplify right side
    500,035.50x = 510,559,908,957.56
  5. Step 5: Solve for x
    x = 510,559,908,957.56/500,035.50
  6. Step 6: Final answer
    x = 1,021,047.32

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.