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Finding the Third Proportional to 506,290.50 and 712,064.25

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Solution

The third proportional to 506,290.50 and 712,064.25 is: 1,001,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,290.50 : 712,064.25 = 712,064.25 : x
  2. Step 2: Convert to fraction form
    506,290.50/712,064.25 = 712,064.25/x
  3. Step 3: Cross multiply
    506,290.50x = 712,064.25 × 712,064.25
  4. Step 4: Simplify right side
    506,290.50x = 507,035,496,128.06
  5. Step 5: Solve for x
    x = 507,035,496,128.06/506,290.50
  6. Step 6: Final answer
    x = 1,001,471.48

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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.