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Finding the Third Proportional to 473,020 and 714,444

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Solution

The third proportional to 473,020 and 714,444 is: 1,079,088.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,020 : 714,444 = 714,444 : x
  2. Step 2: Convert to fraction form
    473,020/714,444 = 714,444/x
  3. Step 3: Cross multiply
    473,020x = 714,444 × 714,444
  4. Step 4: Simplify right side
    473,020x = 510,430,229,136
  5. Step 5: Solve for x
    x = 510,430,229,136/473,020
  6. Step 6: Final answer
    x = 1,079,088.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.