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Finding the Third Proportional to 452,746.13 and 634,564.13

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Solution

The third proportional to 452,746.13 and 634,564.13 is: 889,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,746.13 : 634,564.13 = 634,564.13 : x
  2. Step 2: Convert to fraction form
    452,746.13/634,564.13 = 634,564.13/x
  3. Step 3: Cross multiply
    452,746.13x = 634,564.13 × 634,564.13
  4. Step 4: Simplify right side
    452,746.13x = 402,671,628,737.02
  5. Step 5: Solve for x
    x = 402,671,628,737.02/452,746.13
  6. Step 6: Final answer
    x = 889,398.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.