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Finding the Third Proportional to 302,808 and 657,130.50

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Solution

The third proportional to 302,808 and 657,130.50 is: 1,426,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,808 : 657,130.50 = 657,130.50 : x
  2. Step 2: Convert to fraction form
    302,808/657,130.50 = 657,130.50/x
  3. Step 3: Cross multiply
    302,808x = 657,130.50 × 657,130.50
  4. Step 4: Simplify right side
    302,808x = 431,820,494,030.25
  5. Step 5: Solve for x
    x = 431,820,494,030.25/302,808
  6. Step 6: Final answer
    x = 1,426,053.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.