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Finding the Third Proportional to 321,024 and 695,547

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Solution

The third proportional to 321,024 and 695,547 is: 1,507,007.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,024 : 695,547 = 695,547 : x
  2. Step 2: Convert to fraction form
    321,024/695,547 = 695,547/x
  3. Step 3: Cross multiply
    321,024x = 695,547 × 695,547
  4. Step 4: Simplify right side
    321,024x = 483,785,629,209
  5. Step 5: Solve for x
    x = 483,785,629,209/321,024
  6. Step 6: Final answer
    x = 1,507,007.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.