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Finding the Third Proportional to 473,490 and 637,940.50

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Solution

The third proportional to 473,490 and 637,940.50 is: 859,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,490 : 637,940.50 = 637,940.50 : x
  2. Step 2: Convert to fraction form
    473,490/637,940.50 = 637,940.50/x
  3. Step 3: Cross multiply
    473,490x = 637,940.50 × 637,940.50
  4. Step 4: Simplify right side
    473,490x = 406,968,081,540.25
  5. Step 5: Solve for x
    x = 406,968,081,540.25/473,490
  6. Step 6: Final answer
    x = 859,507.24

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.