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Finding the Third Proportional to 473,557.50 and 841,929.75

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Solution

The third proportional to 473,557.50 and 841,929.75 is: 1,496,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,557.50 : 841,929.75 = 841,929.75 : x
  2. Step 2: Convert to fraction form
    473,557.50/841,929.75 = 841,929.75/x
  3. Step 3: Cross multiply
    473,557.50x = 841,929.75 × 841,929.75
  4. Step 4: Simplify right side
    473,557.50x = 708,845,703,935.06
  5. Step 5: Solve for x
    x = 708,845,703,935.06/473,557.50
  6. Step 6: Final answer
    x = 1,496,852.45

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.