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Finding the Third Proportional to 344,547,283.50 and 517,072,916.25

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Solution

The third proportional to 344,547,283.50 and 517,072,916.25 is: 775,987,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,547,283.50 : 517,072,916.25 = 517,072,916.25 : x
  2. Step 2: Convert to fraction form
    344,547,283.50/517,072,916.25 = 517,072,916.25/x
  3. Step 3: Cross multiply
    344,547,283.50x = 517,072,916.25 × 517,072,916.25
  4. Step 4: Simplify right side
    344,547,283.50x = 267,364,400,719,279,520
  5. Step 5: Solve for x
    x = 267,364,400,719,279,520/344,547,283.50
  6. Step 6: Final answer
    x = 775,987,545.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.