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Finding the Third Proportional to 233,064 and 507,646

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Solution

The third proportional to 233,064 and 507,646 is: 1,105,724.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,064 : 507,646 = 507,646 : x
  2. Step 2: Convert to fraction form
    233,064/507,646 = 507,646/x
  3. Step 3: Cross multiply
    233,064x = 507,646 × 507,646
  4. Step 4: Simplify right side
    233,064x = 257,704,461,316
  5. Step 5: Solve for x
    x = 257,704,461,316/233,064
  6. Step 6: Final answer
    x = 1,105,724.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.