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Finding the Third Proportional to 524,547 and 775,741.50

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Solution

The third proportional to 524,547 and 775,741.50 is: 1,147,227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,547 : 775,741.50 = 775,741.50 : x
  2. Step 2: Convert to fraction form
    524,547/775,741.50 = 775,741.50/x
  3. Step 3: Cross multiply
    524,547x = 775,741.50 × 775,741.50
  4. Step 4: Simplify right side
    524,547x = 601,774,874,822.25
  5. Step 5: Solve for x
    x = 601,774,874,822.25/524,547
  6. Step 6: Final answer
    x = 1,147,227.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.