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Finding the Third Proportional to 478,355 and 1,032,806.50

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Solution

The third proportional to 478,355 and 1,032,806.50 is: 2,229,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,355 : 1,032,806.50 = 1,032,806.50 : x
  2. Step 2: Convert to fraction form
    478,355/1,032,806.50 = 1,032,806.50/x
  3. Step 3: Cross multiply
    478,355x = 1,032,806.50 × 1,032,806.50
  4. Step 4: Simplify right side
    478,355x = 1,066,689,266,442.25
  5. Step 5: Solve for x
    x = 1,066,689,266,442.25/478,355
  6. Step 6: Final answer
    x = 2,229,911.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.