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Finding the Third Proportional to 463,735 and 705,323

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Solution

The third proportional to 463,735 and 705,323 is: 1,072,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,735 : 705,323 = 705,323 : x
  2. Step 2: Convert to fraction form
    463,735/705,323 = 705,323/x
  3. Step 3: Cross multiply
    463,735x = 705,323 × 705,323
  4. Step 4: Simplify right side
    463,735x = 497,480,534,329
  5. Step 5: Solve for x
    x = 497,480,534,329/463,735
  6. Step 6: Final answer
    x = 1,072,769.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.