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Finding the Third Proportional to 346,657.50 and 759,492

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Solution

The third proportional to 346,657.50 and 759,492 is: 1,663,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,657.50 : 759,492 = 759,492 : x
  2. Step 2: Convert to fraction form
    346,657.50/759,492 = 759,492/x
  3. Step 3: Cross multiply
    346,657.50x = 759,492 × 759,492
  4. Step 4: Simplify right side
    346,657.50x = 576,828,098,064
  5. Step 5: Solve for x
    x = 576,828,098,064/346,657.50
  6. Step 6: Final answer
    x = 1,663,971.21

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Why These Related Problems?

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