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Finding the Third Proportional to 346,243.50 and 531,871.50

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Solution

The third proportional to 346,243.50 and 531,871.50 is: 817,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,243.50 : 531,871.50 = 531,871.50 : x
  2. Step 2: Convert to fraction form
    346,243.50/531,871.50 = 531,871.50/x
  3. Step 3: Cross multiply
    346,243.50x = 531,871.50 × 531,871.50
  4. Step 4: Simplify right side
    346,243.50x = 282,887,292,512.25
  5. Step 5: Solve for x
    x = 282,887,292,512.25/346,243.50
  6. Step 6: Final answer
    x = 817,018.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.