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Finding the Third Proportional to 430,053 and 601,502

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Solution

The third proportional to 430,053 and 601,502 is: 841,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,053 : 601,502 = 601,502 : x
  2. Step 2: Convert to fraction form
    430,053/601,502 = 601,502/x
  3. Step 3: Cross multiply
    430,053x = 601,502 × 601,502
  4. Step 4: Simplify right side
    430,053x = 361,804,656,004
  5. Step 5: Solve for x
    x = 361,804,656,004/430,053
  6. Step 6: Final answer
    x = 841,302.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.