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Finding the Third Proportional to 528,809.25 and 794,386.50

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Solution

The third proportional to 528,809.25 and 794,386.50 is: 1,193,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,809.25 : 794,386.50 = 794,386.50 : x
  2. Step 2: Convert to fraction form
    528,809.25/794,386.50 = 794,386.50/x
  3. Step 3: Cross multiply
    528,809.25x = 794,386.50 × 794,386.50
  4. Step 4: Simplify right side
    528,809.25x = 631,049,911,382.25
  5. Step 5: Solve for x
    x = 631,049,911,382.25/528,809.25
  6. Step 6: Final answer
    x = 1,193,341.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.