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Finding the Third Proportional to 346,569.50 and 758,362

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Solution

The third proportional to 346,569.50 and 758,362 is: 1,659,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,569.50 : 758,362 = 758,362 : x
  2. Step 2: Convert to fraction form
    346,569.50/758,362 = 758,362/x
  3. Step 3: Cross multiply
    346,569.50x = 758,362 × 758,362
  4. Step 4: Simplify right side
    346,569.50x = 575,112,923,044
  5. Step 5: Solve for x
    x = 575,112,923,044/346,569.50
  6. Step 6: Final answer
    x = 1,659,444.71

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