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Finding the Third Proportional to 326,389.50 and 512,547.75

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Solution

The third proportional to 326,389.50 and 512,547.75 is: 804,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,389.50 : 512,547.75 = 512,547.75 : x
  2. Step 2: Convert to fraction form
    326,389.50/512,547.75 = 512,547.75/x
  3. Step 3: Cross multiply
    326,389.50x = 512,547.75 × 512,547.75
  4. Step 4: Simplify right side
    326,389.50x = 262,705,196,030.06
  5. Step 5: Solve for x
    x = 262,705,196,030.06/326,389.50
  6. Step 6: Final answer
    x = 804,882.50

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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.