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Finding the Third Proportional to 461,673 and 695,547

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Solution

The third proportional to 461,673 and 695,547 is: 1,047,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,673 : 695,547 = 695,547 : x
  2. Step 2: Convert to fraction form
    461,673/695,547 = 695,547/x
  3. Step 3: Cross multiply
    461,673x = 695,547 × 695,547
  4. Step 4: Simplify right side
    461,673x = 483,785,629,209
  5. Step 5: Solve for x
    x = 483,785,629,209/461,673
  6. Step 6: Final answer
    x = 1,047,896.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.