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Finding the Third Proportional to 506,283 and 712,150.50

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Solution

The third proportional to 506,283 and 712,150.50 is: 1,001,728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,283 : 712,150.50 = 712,150.50 : x
  2. Step 2: Convert to fraction form
    506,283/712,150.50 = 712,150.50/x
  3. Step 3: Cross multiply
    506,283x = 712,150.50 × 712,150.50
  4. Step 4: Simplify right side
    506,283x = 507,158,334,650.25
  5. Step 5: Solve for x
    x = 507,158,334,650.25/506,283
  6. Step 6: Final answer
    x = 1,001,728.94

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.