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Finding the Third Proportional to 525,379.50 and 832,053

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Solution

The third proportional to 525,379.50 and 832,053 is: 1,317,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,379.50 : 832,053 = 832,053 : x
  2. Step 2: Convert to fraction form
    525,379.50/832,053 = 832,053/x
  3. Step 3: Cross multiply
    525,379.50x = 832,053 × 832,053
  4. Step 4: Simplify right side
    525,379.50x = 692,312,194,809
  5. Step 5: Solve for x
    x = 692,312,194,809/525,379.50
  6. Step 6: Final answer
    x = 1,317,737.36

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