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Finding the Third Proportional to 292,303 and 641,501

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Solution

The third proportional to 292,303 and 641,501 is: 1,407,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,303 : 641,501 = 641,501 : x
  2. Step 2: Convert to fraction form
    292,303/641,501 = 641,501/x
  3. Step 3: Cross multiply
    292,303x = 641,501 × 641,501
  4. Step 4: Simplify right side
    292,303x = 411,523,533,001
  5. Step 5: Solve for x
    x = 411,523,533,001/292,303
  6. Step 6: Final answer
    x = 1,407,866.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.