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Finding the Third Proportional to 478,888 and 714,176

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Solution

The third proportional to 478,888 and 714,176 is: 1,065,066.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,888 : 714,176 = 714,176 : x
  2. Step 2: Convert to fraction form
    478,888/714,176 = 714,176/x
  3. Step 3: Cross multiply
    478,888x = 714,176 × 714,176
  4. Step 4: Simplify right side
    478,888x = 510,047,358,976
  5. Step 5: Solve for x
    x = 510,047,358,976/478,888
  6. Step 6: Final answer
    x = 1,065,066.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.