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Finding the Third Proportional to 713,707.50 and 1,050,847.50

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Solution

The third proportional to 713,707.50 and 1,050,847.50 is: 1,547,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,707.50 : 1,050,847.50 = 1,050,847.50 : x
  2. Step 2: Convert to fraction form
    713,707.50/1,050,847.50 = 1,050,847.50/x
  3. Step 3: Cross multiply
    713,707.50x = 1,050,847.50 × 1,050,847.50
  4. Step 4: Simplify right side
    713,707.50x = 1,104,280,468,256.25
  5. Step 5: Solve for x
    x = 1,104,280,468,256.25/713,707.50
  6. Step 6: Final answer
    x = 1,547,245.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.