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Finding the Third Proportional to 759,129.75 and 1,146,537

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Solution

The third proportional to 759,129.75 and 1,146,537 is: 1,731,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,129.75 : 1,146,537 = 1,146,537 : x
  2. Step 2: Convert to fraction form
    759,129.75/1,146,537 = 1,146,537/x
  3. Step 3: Cross multiply
    759,129.75x = 1,146,537 × 1,146,537
  4. Step 4: Simplify right side
    759,129.75x = 1,314,547,092,369
  5. Step 5: Solve for x
    x = 1,314,547,092,369/759,129.75
  6. Step 6: Final answer
    x = 1,731,650.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.