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Finding the Third Proportional to 575,715 and 903,014.50

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Solution

The third proportional to 575,715 and 903,014.50 is: 1,416,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,715 : 903,014.50 = 903,014.50 : x
  2. Step 2: Convert to fraction form
    575,715/903,014.50 = 903,014.50/x
  3. Step 3: Cross multiply
    575,715x = 903,014.50 × 903,014.50
  4. Step 4: Simplify right side
    575,715x = 815,435,187,210.25
  5. Step 5: Solve for x
    x = 815,435,187,210.25/575,715
  6. Step 6: Final answer
    x = 1,416,386.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.