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Finding the Third Proportional to 473,064 and 695,736

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Solution

The third proportional to 473,064 and 695,736 is: 1,023,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,064 : 695,736 = 695,736 : x
  2. Step 2: Convert to fraction form
    473,064/695,736 = 695,736/x
  3. Step 3: Cross multiply
    473,064x = 695,736 × 695,736
  4. Step 4: Simplify right side
    473,064x = 484,048,581,696
  5. Step 5: Solve for x
    x = 484,048,581,696/473,064
  6. Step 6: Final answer
    x = 1,023,220.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.