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Finding the Third Proportional to 525,370.50 and 832,038.75

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Solution

The third proportional to 525,370.50 and 832,038.75 is: 1,317,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,370.50 : 832,038.75 = 832,038.75 : x
  2. Step 2: Convert to fraction form
    525,370.50/832,038.75 = 832,038.75/x
  3. Step 3: Cross multiply
    525,370.50x = 832,038.75 × 832,038.75
  4. Step 4: Simplify right side
    525,370.50x = 692,288,481,501.56
  5. Step 5: Solve for x
    x = 692,288,481,501.56/525,370.50
  6. Step 6: Final answer
    x = 1,317,714.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.