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Finding the Third Proportional to 507,594 and 803,178

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Solution

The third proportional to 507,594 and 803,178 is: 1,270,887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,594 : 803,178 = 803,178 : x
  2. Step 2: Convert to fraction form
    507,594/803,178 = 803,178/x
  3. Step 3: Cross multiply
    507,594x = 803,178 × 803,178
  4. Step 4: Simplify right side
    507,594x = 645,094,899,684
  5. Step 5: Solve for x
    x = 645,094,899,684/507,594
  6. Step 6: Final answer
    x = 1,270,887.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.