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Finding the Third Proportional to 415,547.50 and 896,705

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Solution

The third proportional to 415,547.50 and 896,705 is: 1,934,989.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,547.50 : 896,705 = 896,705 : x
  2. Step 2: Convert to fraction form
    415,547.50/896,705 = 896,705/x
  3. Step 3: Cross multiply
    415,547.50x = 896,705 × 896,705
  4. Step 4: Simplify right side
    415,547.50x = 804,079,857,025
  5. Step 5: Solve for x
    x = 804,079,857,025/415,547.50
  6. Step 6: Final answer
    x = 1,934,989.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.